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Certain or Impossible Worksheets

.

Determine whether the event is likely, unlikely, certain, or impossible to occur."New Year is celebrated on 1stof January every year."

a.an impossible event

b.a likely event

c.a certain event

d.an unlikely event

Solution:

The event that will happen is a certain event.

So, "New Year will be celebrated on 1stof January every year." is a certain event.

2.

Choose whether the event is likely, unlikely or equally likely to occur. "New Year is being celebrated in the month of June."

a.an unlikely event

b.a likely event

c.an impossible event

d.a certain event

Solution:

The event that cannot happen is called an impossible event.

So, "New Year is being celebrated in the month of June." is an impossible event.

3.

Determine whether the event is likely, unlikely, certain, or impossible to occur."A coin dropped would land on the floor showing a head."

a.a certain event

b.an impossible event

c.a likely event

d.an unlikely event

Solution:

The event will most probably happen.

So, it is a likely event.

4.

Determine whether the event is likely, unlikely, certain, or impossible to occur."Yesterday was Sunday. Today is Saturday."

a.likely event

b.an unlikely event

c.an impossible event

d.a certain event

Solution:

The event is impossible to occur.

5.

Determine whether the event is likely, unlikely, certain, or impossible to occur."A glass bottle, when dropped on the floor, breaks."

a.a likely event

b.an unlikely event

c.a certain event

d.an impossible event

Solution:

The event will most probably happen.

So, it is a likely event.

6.

Determine whether the event is likely, unlikely, certain, or impossible to occur."Paul picking a cherry from a basket containing a bunch of grapes."

a.certain event

b.unlikely event

c.likely event

d.impossible event

Solution:

An event that has no chance of occurring is called an impossible event.

It is impossible to pick a cherry from a basket containing a bunch of grapes.

So, it is an impossible event.

7.

An event that has no chance of occurring iscalled __________ event.

a.a favorable

b.an impossible

c.a possible

d.a certain

Solution:

An event that has no chance of occurring is called an impossible event.

8.

An event A is an impossible event. What is its probability?

a.P(A) = 3

b.P(A) = 2

c.P(A) = 0

d.P(A) = 1

Solution:

An event that has no chance of occurring is called as an impossible event.

If event A is impossible, then P(A) = 0.

9.

An event that is certain to occur iscalled _________ event.

a.a favorable

b.a certain

c.an impossible

d.a possible

Solution:

An event that is certain to occur is called a certain event.

10.

An event A is a certain event. What is its probability?

a.P(A) = 2

b.P(A) = 0

c.P(A) = 3

d.P(A) = 1

Solution:

An event that is certain to occur is called a certain event.

If event A is certain, then P(A) = 1.

1.

When the probability of an event lies between 0 and 1, then that event iscalled a _______ event.

a.certain

b.impossible

c.possible

d.None of the above

Solution:

If the probability of an event lies between 0 and 1, then that event is called a possible event.

12.

A bag contains 8 red balls, 3 green balls and a blue ball. If a ball is chosen at random from the bag, then which of the following is an impossible event?

a.choosing a blue ball

b.choosing a red ball

c.choosing a green ball

d.choosing a yellow ball

Solution:

An event that has no chance of occurring is called an impossible event.

Since the bag does not contain yellow colored balls, it is impossible to choose a yellow colored ball.

Choosing a yellow colored ball is an impossible event.

13.

A spinner has 5 equal sectors colored blue, yellow, black, white and red. If William spins the spinner, then which of the following is a certain event?

a.the spinner landing on the white sector

b.the spinner landing on the yellow sector

c.the spinner landing on the blue sector

d.none of these

Solution:

An event that is certain to occur is called a certain event.

The spinner has 5 equal sectors colored blue, yellow, black, white and red. So, there is no certain event.14.

Choosing a joker card from a standard deck of52 cards is __________ event.

a.a possible

b.a certain

c.an impossible

d.none of these

Solution:

It is impossible to choose a joker card since a standard deck of cards does not have any jokers.

This is an impossible event.

15.

A 6-sided die is rolled. Which of the following is a possible event?

a.rolling any number less than 8

b.rolling 7

c.rolling any number from 1 to 6

d.rolling any number more than 7

Solution:

When the probability of an event lies between 0 and 1, then that event is called a possible event.

When a dice is rolled, there is a chance that the number rolled is 1, 2, 3, 4, 5, or 6.

Rolling any number from 1 to 6 is a possible event.

16.

All the eight members participating in a competition were boys. If their coach chooses one of them, then, choosing a boyis _________ event.

a.a certain

b.a possible

c.an impossible

d.none of these

Solution:

An event that is certain to occur is called a certain event.

Since all the people participating in the competition are boys, the coach is certain to choose a boy.

So, the event of choosing a boy is a certain event.

17.

A teacher choosing one boy from a class of 18girls is _________ event.

a.an impossible

b.a possible

c.a certain

d.none of these

Solution:

Since all the students in the class are girls, it is impossible for the teacher to choose a boy.

An event that is impossible to occur is called an impossible event.

So, the event of the teacher choosing one boy from a class of 18 girls is an impossible event.

18.

A coin is tossed once. Which of the following choices is an impossible event?

a.getting both head and tail

b.I dont know

c.getting a tail

d.getting a head

Solution:

An event that has no chance of occurring is called an impossible event.

It is impossible to get both head and tail, when a coin is tossed once.

So, getting both head and tail is an impossible event.

19.

Choose whether the event is likely, unlikely or equally likely to occur. "Your hair would grow 5 inches longer by tomorrow."

a.a likely event

b.an unlikely event

c.an equally likely event

d.none of these

Solution:

The event will not happen.

So, it is an unlikely event.

20.

Choose whether the event is likely, unlikely or equally likely to occur. "I will be taller this year than the coming year."

a.a likely event

b.an unlikely event

c.an equally likely as unlikely event

d.none of these

Solution:

The event will not happen.

So, it is an unlikely event.

21.

Choose whether the event is likely, unlikely or equally likely to occur. "It will snow in June in New York."

a.A likely event

b.An unlikely event

c.An equally likely event

d.None of the above

Solution:

The event will not happen.

So, it is an unlikely event.

22.

State whether the event is likely, unlikely or equally likely to occur. "We will go to watch a soccer match."

a.an impossible event

b.an equally likely event

c.an unlikely event

d.a likely event

Solution:

The event is just as likely to happen as not to happen.

So, it is an equally likely event.

23.

Choose whether the event is likely, unlikely or equally likely to occur. "Your mom and dad will go on a vacation."

a.a likely event

b.an equally likely event

c.an unlikely event

d.an impossible event

Solution:

The event is just as likely to happen as not to happen.

So, it is an equally likely event.

24.

Choose whether the event is likely, unlikely or equally likely to occur. "Have a pizza for dinner."

a.an impossible event

b.an equally likely event

c.an unlikely event

d.a likely event

Solution:

The event is just as likely to happen as not to happen.

So, it is an equally likely event.

25.

Choose whether the event is likely, unlikely or equally likely to occur. "You will go to moon on Monday."

a.a likely event

b.an unlikely event

c.an equally likely event

d.none of these

Solution:

The event will not happen.

So, it is an unlikely event.

26.

Choose whether the event is likely, unlikely or equally likely to occur. "You will send an e-card to your friend on Mars."

a.a likely event

b.an unlikely event

c.an equally likely event

d.none of these

Solution:

The event will not happen.

So, it is an unlikely event.

27.

Choose whether the event is likely, unlikely or equally likely to occur. "Your mother prepares your lunch pack."

a.a likely event

b.an unlikely event

c.an equally likely event

d.none of these

Solution:

The event will most probably happen.

So, it is a likely event.

28.

Choose whether the event is likely, unlikely or equally likely to occur. "To organize a get-together tonight."

a.an unlikely event

b.an impossible event

c.a likely event

d.an equally likely event

Solution:

The event is just as likely to happen as not to happen.

So, it is an equally likely event.

29.

Choose whether the event is likely, unlikely or equally likely to occur. "Holding your breath for an hour."

a.a likely event

b.an unlikely event

c.an equally likely event

d.none of these

Solution:

The event will not happen.

So, it is an unlikely event.

30.

Choose whether the event is likely, unlikely or equally likely to occur. "Your father is taller than your mother."

a.a likely event

b.an unlikely event

c.an equally likely as unlikely event

d.none of these

Solution:

The event will most probably happen.

So, it is a likely event.

31.

Choose whether the event is likely, unlikely or equally likely to occur. "Having a bath daily."

a.a likely event

b.an unlikely event

c.an equally likely event

d.none of these

Solution:

The event is likely to occur.

So, it is a likely event.