Rolling a Pair of Dice

Question 2 Rolling a Pair of Dice. Consider the random experiment of rolling a pair of dice. Suppose that we are interested in the sum of the face values showing on the dice.

  1. How many outcomes are possible?

Answer: 36 outcomes are possible

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Explanation: 6 x 6: 36

  1. List the outcomes:

The outcomes will be: 36 numbers from the number 2 to 12

  1. What is the probability of obtaining a value of 7?

Answer: 1/6

Explanation: 6/36 : 1/6

  1. What is the probability of obtaining a value of 9 or greater?

Answer: 5/18

Explanation: 10/36: 5/18

 

 

Question 4, A and B. Suppose that we have two events, A and B, P (A)+0.50, P(B)= 0.60, and P( A B) = 0.40.

  1. Find P(A|B).

 

  1. Find P(B|A).
  2. Are A and B independent? Why or why not?

No because P(A|B)= 0.6667 and P(A) = 0.50, so P (A|B) = P(A)

 

 

 

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