bell work 1. what’s the probability that the spinner will land on blue? 2. samuel has a bowl of...
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Bell Work
1. What’s the probability that the spinner will land on blue?
2. Samuel has a bowl of fruit containing 3 apples, 2 oranges and 5 pears. If he randomly picks 1 piece of fruit from the bowl, what is the probability it will be a pear or an apple?
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12 3
4
567
8
Answers
apples3
2 oranges
5 pears+10 fruits total
1.
2.
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Experimental Probability
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Theoretical vs. Experimental Probability
Theoretical Probability:- It is how a probability of an event
“should” happen. Experimental Probability:- Experimental probability refers to the
probability of an event occurring when an experiment was conducted.
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Theoretical Probability
There is a bag of blue, green and red chips. There is a 12% possibility of randomly picking a blue chip and a 25% chance of randomly picking a red chip. What is the probability of picking a green chip?Hint: Your three options are green, blue and red. Their probability will add up to 100%
Answer: 63%
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Experimental probability
P(event) = number of times event occurs total number of trialsYou tossed a coin 10 times and recorded heads 3 times
and tails 7 times
P(head)= 3/10 , 0.3 or 30%
A head shows up 3 times out of 10 trials,
P(tail) = 7/10, 0.7 or 70%
A tail shows up 7 times out of 10 trials
HEADS
TAILS
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Comparing experimental and theoretical probability
Both probabilities are ratios that compare the number of favorable outcomes to the total number of possible outcomes
P(head)= 3/10 or 30%
P(tail) = 7/10 or 70%P(head) = 1/2 or 50%
P(tail) = 1/2 or 50%
All results will add up to 100% every time!
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Experimental Probability
You draw a marble out of the bag, record the color, and replace the marble. After 5 draws, you record 2 red marbles. According to your experiment what is the probability of drawing each color?
P(red)= 2/5, 0.4 or 40%
P(blue)= 3/5, 0.6 or 60%
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EXAMPLE 2You roll a number cube 100 times. Your results are given in the table below. Find the experimental probability of rolling a 6. Write your answer as a percent.
P(rolling a 6) = 18100
Number of favorable outcomesTotal number of rolls
= 0.18 = 18%
If you rolled the number cube 300 times then how many times would you predict that you would roll a 3?
60 times300100
20 x
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Rolled# of
times1 62 153 184 115 36 7
Results from rolling a six-sided die:
What is the experimental probability of rolling a 5? How does that compare to the theoretical probability?
Experimental:P(rolling a 4) = 3/60 = 1/20
Theoretical: P(rolling a 4) = 1/6
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Experimental ProbabilityExampleA class group flipped a coin and recorded their results below.
What is their experimental probability of landing on heads?Solution
The group landed on heads 6 times, so the experimental probability is:
Trial: 1 2 3 4 5 6 7 8 9 10
Result: T H T H H H T T H H
6 3
10 5
successes
trials
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Using the spinner below, what is the sample space? What is the probability that the spinner will land on “B” as a percentage?
A B
CD
E
A,B,C,D,E
1/5 = 20%
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Practice:Experimental
Probability Worksheet