A is equal to 6 the probability of winning the first prize B

(A) is equal to .6, the probability of winning the first prize. (B) is the probability of winning the second prize. The probability of winning both is .2

A) Write the information given using mathematical notation.

B) Find the probabailty of winning the second gift (B) given the first gift (A) is won.

C) Are evenets (A) and (B) independent? Justify your thinking.

Solution

P(A)=0.6,P(A and B)=0.2

P(B given A)

=P(A and B)/P(A)

=0.2/0.6=0.33