probability probability is represented as a ratio of the number of ways an event actually occurs...

PROBABILITY Probability is represented as a ratio of the number of ways an event actually occurs compared to the number of possible outcomes

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PROBABILITY

Probability is represented as a ratio of the number of ways an event actually occurs compared to the number of possible outcomes

PROBABILITY

Probability is represented as a ratio of the number of ways an event actually occurs compared to the number of possible outcomes

For example, let’s look at a dice rolled one time.

PROBABILITY

Probability is represented as a ratio of the number of ways an event actually occurs compared to the number of possible outcomes

For example, let’s look at a dice rolled one time.

What is the probability of rolling a two ?

PROBABILITY

Probability is represented as a ratio of the number of ways an event actually occurs compared to the number of possible outcomes

For example, let’s look at a dice rolled one time.

What is the probability of rolling a two ?

A two occurs one time on a die…There are six possible numbers we can roll…

PROBABILITY

Probability is represented as a ratio of the number of ways an event actually occurs compared to the number of possible outcomes

For example, let’s look at a dice rolled one time.

What is the probability of rolling a two ?

A two occurs one time on a die…There are six possible numbers we can roll…

PROBABILITY

EXAMPLE # 2 : What is the probability of drawing an ace in a deck of cards ?

PROBABILITY

EXAMPLE # 2 : What is the probability of drawing an ace in a deck of cards ?

There are 4 aces in a deck of cards…There are 52 cards in a deck…

PROBABILITY

EXAMPLE # 2 : What is the probability of drawing an ace in a deck of cards ?

There are 4 aces in a deck of cards…There are 52 cards in a deck…

PROBABILITY

EXAMPLE # 2 : What is the probability of drawing an ace in a deck of cards ?

There are 4 aces in a deck of cards…There are 52 cards in a deck…

EXAMPLE # 3 : A gumball machine has 6 yellow, 4 blue, 3 green, and 5 red gumballs in it. If you put a quarter in the gumball machine, what is the probability that a red gumball will come out ?

PROBABILITY

EXAMPLE # 2 : What is the probability of drawing an ace in a deck of cards ?

There are 4 aces in a deck of cards…There are 52 cards in a deck…

EXAMPLE # 3 : A gumball machine has 6 yellow, 4 blue, 3 green, and 5 red gumballs in it. If you put a quarter in the gumball machine, what is the probability that a red gumball will come out ?

There are 4 red gumballs… There are 6 + 4 + 3 + 5 = 18 total gumballs

PROBABILITY

EXAMPLE # 2 : What is the probability of drawing an ace in a deck of cards ?

There are 4 aces in a deck of cards…There are 52 cards in a deck…

EXAMPLE # 3 : A gumball machine has 6 yellow, 4 blue, 3 green, and 5 red gumballs in it. If you put a quarter in the gumball machine, what is the probability that a red gumball will come out ?

There are 4 red gumballs… There are 6 + 4 + 3 + 5 = 18 total gumballs

PROBABILITY

Compound events… if I draw one card from a deck of cards and then draw ANOTHER card, that is a compound event. We are attempting the trial more than one time.

PROBABILITY

Compound events… if I draw one card from a deck of cards and then draw ANOTHER card, that is a compound event. We are attempting the trial more than one time.

There are two types :

With replacement – you replace the card or gumball, etc. for the next trial

PROBABILITY

Compound events… if I draw one card from a deck of cards and then draw ANOTHER card, that is a compound event. We are attempting the trial more than one time.

There are two types :

With replacement – you replace the card or gumball, etc. for the next trial

Without replacement – you DO NOT replace the item after the first trial

PROBABILITY

Compound events… if I draw one card from a deck of cards and then draw ANOTHER card, that is a compound event. We are attempting the trial more than one time.

There are two types :

With replacement – you replace the card or gumball, etc. for the next trial

Without replacement – you DO NOT replace the item after the first trial

To calculate the probability, you multiply the ratios…

PROBABILITY

Compound events… if I draw one card from a deck of cards and then draw ANOTHER card, that is a compound event. We are attempting the trial more than one time.

There are two types :

With replacement – you replace the card or gumball, etc. for the next trial

Without replacement – you DO NOT replace the item after the first trial

To calculate the probability, you multiply the ratios…

EXAMPLE : A bag has 3 red chips and 5 blue chips. What is the probability of drawing a red chip on the first try and a blue chip on the second try with replacement ?

PROBABILITY

Compound events… if I draw one card from a deck of cards and then draw ANOTHER card, that is a compound event. We are attempting the trial more than one time.

There are two types :

With replacement – you replace the card or gumball, etc. for the next trial

Without replacement – you DO NOT replace the item after the first trial

To calculate the probability, you multiply the ratios…

EXAMPLE : A bag has 3 red chips and 5 blue chips. What is the probability of drawing a red chip on the first try and a blue chip on the second try with replacement ?

PROBABILITY

Compound events… if I draw one card from a deck of cards and then draw ANOTHER card, that is a compound event. We are attempting the trial more than one time.

There are two types :

With replacement – you replace the card or gumball, etc. for the next trial

Without replacement – you DO NOT replace the item after the first trial

To calculate the probability, you multiply the ratios…

EXAMPLE : A bag has 3 red chips and 5 blue chips. What is the probability of drawing a red chip on the first try and a blue chip on the second try with replacement ?

PROBABILITY

Compound events… if I draw one card from a deck of cards and then draw ANOTHER card, that is a compound event. We are attempting the trial more than one time.

EXAMPLE : A bag has 3 red chips and 5 blue chips. What is the probability of drawing a red chip on the first try and a blue chip on the second try WITHOUT replacement ?

PROBABILITY

Compound events… if I draw one card from a deck of cards and then draw ANOTHER card, that is a compound event. We are attempting the trial more than one time.

EXAMPLE : A bag has 3 red chips and 5 blue chips. What is the probability of drawing a red chip on the first try and a blue chip on the second try WITHOUT replacement ?

Notice how the number of possible outcomes changed because we didn’t replace the red chip after the first trial…

PROBABILITY

Compound events… if I draw one card from a deck of cards and then draw ANOTHER card, that is a compound event. We are attempting the trial more than one time.

EXAMPLE : A bag has 3 red chips and 5 blue chips. What is the probability of drawing a red chip on the first try and a blue chip on the second try WITHOUT replacement ?

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