Question 19

Two cards are selected from a standard deck of 52 playing cards. The first is replaced before the second card is selected. Find the probability of selecting a diamond and then selecting a queen.

The probability of selecting a diamond and then selecting a queen is

(Round to three decimal places asneeded.)

question 20

In the generalpopulation, one woman in eight will develop breast cancer. Research has shown that 1 woman in 550 carries a mutation of the BRCA gene. Nine out of 10 women with this mutation develop breast cancer.

(a) Find the probability that a randomly selected woman will develop breast cancer given that she has a mutation of the BRCA gene.

The probability that a randomly selected woman will develop breast cancer given that she has a mutation of the BRCA gene is

_______

(Round to one decimal place asneeded.)