# Experimental Probability

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Published on September 4, 2008

Source: slideshare.net

EXPERIMENTAL PROBABILITY

Definition Probability The measure of the likelihood/chance that an event will happen.  It is the ratio of the number of favorable outcomes to the number of possible outcomes.   06/04/09 PH 01-07 Bitsy Griffin

Probability

The measure of the likelihood/chance that an event will happen.

It is the ratio of the number of favorable outcomes to the number of possible outcomes.

Formula P (event) =  number of favorable outcomes                      number of possible outcomes 06/04/09 PH 01-07 Bitsy Griffin

P (event) =  number of favorable outcomes                      number of possible outcomes

Experiment 1 You have a six-sided die What are the number of possible outcomes? (How many numbers are on the die?) 6 That’s the bottom number What is the probability that you will throw a 1? There is only 1 That’s the top number P(1)=1/6 06/04/09 PH 01-07 Bitsy Griffin

You have a six-sided die

What are the number of possible outcomes? (How many numbers are on the die?)

6

That’s the bottom number

What is the probability that you will throw a 1?

There is only 1

That’s the top number

P(1)=1/6

Experiment 1 What is the probability you will throw a 2? P(2)=1/6 What is the probability you will throw an even number? P(even)=3/6 Reduce it to: P(even)= 1/2 06/04/09 PH 01-07 Bitsy Griffin

What is the probability you will throw a 2?

P(2)=1/6

What is the probability you will throw an even number?

P(even)=3/6

Reduce it to:

P(even)= 1/2

Experiment 1 What is the probability you will throw a 2 or a 5? P(2or5)= 2/6 Reduce it to: P(2or5)= 1/3 06/04/09 PH 01-07 Bitsy Griffin

What is the probability you will throw a 2 or a 5?

P(2or5)= 2/6

Reduce it to:

P(2or5)= 1/3

Experiment 2 You have a standard deck of cards What are the number of possible outcomes? 52 That’s the bottom number What is the probability that you will draw a black card? 26 P(black card)= 26/52 Reduce it: P(black card)= 1/2 06/04/09 PH 01-07 Bitsy Griffin

You have a standard deck of cards

What are the number of possible outcomes?

52

That’s the bottom number

What is the probability that you will draw a black card?

26

P(black card)= 26/52

Reduce it:

P(black card)= 1/2

Experiment 2 What is the probability that you will draw a heart? P(heart)= 13/52 Reduce it: P(heart)= ¼ What is the probability that you will draw a 4? P(4)= 4/52 Reduce it: P(4)= 1/13 06/04/09 PH 01-07 Bitsy Griffin

What is the probability that you will draw a heart?

P(heart)= 13/52

Reduce it:

P(heart)= ¼

What is the probability that you will draw a 4?

P(4)= 4/52

Reduce it:

P(4)= 1/13

Experiment 2 What is the probability that you will not draw a heart? 13(3)/52 => P(no heart)=39/52 Reduce it: P(no heart)= ¾ 06/04/09 PH 01-07 Bitsy Griffin

What is the probability that you will not draw a heart?

13(3)/52 => P(no heart)=39/52

Reduce it:

P(no heart)= ¾

Experiment 3 Nike is having a tennis shoe giveaway. If you are the first person chosen to win one of the above pair of shoes, what is the probability of winning each type? P(A) = 5/20 = ? P(B) = 8/20 = ? P(C) = 7/20 = ? 06/04/09 PH 01-07 Bitsy Griffin A B C 5 8 7

Nike is having a tennis shoe giveaway. If you are the first person chosen to win one of the above pair of shoes, what is the probability of winning each type?

P(A) = 5/20 = ?

P(B) = 8/20 = ?

P(C) = 7/20 = ?

Review Steps? HW – No Simulations – Only Probability

Steps?

HW – No Simulations – Only Probability

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