You are dealt two cards successively without replacement fro

You are dealt two cards successively (without replacement) from a shuffled deck of 52 playing cards. Find the probability that both cards are black. Express your answer as a simplified fraction. What is the probability that 4 randomly selected people all have different birthdays? Round to four decimal places. A sample of 4 different calculators is randomly selected from a group containing 47 that are defective and 29 that have no defects. What is the probability that all four of the calculators selected are defective? Round to four decimal places.

Solution

Q31.
We have number of 26 Black cards in a deck of 52
Drawing 2 cards successively from a deck that are black is = 26 C 2

Probability of 2 Drawn are black = 26 C 2 / 52 C 2 = nCr(26,2)/nCr(52,2) = 25/102