Suppose that we draw cards repeatedly and with replacement f

Suppose that we draw cards repeatedly and with replacement from a file of 100 cards, 50 of which refer to male and 50 to female persons. What is the probability of obtaining the second \"female\" card before the third \" male\" card?

Solution

Probability of obtaining 2 \"female\" before 3 male card

we have 50 male and 50 female

so the probability of getting 2 male is 2/50

the probability of getting 1 female is 1/50

we have also that the probability of obtaining 2 females before 3 male card is 2/50 * 3/50 = 0.0024

PROBABILITY IS 0.0024