Question

The probability of drawing two nickels from a bag at random without replacement is 33/95 . The probability of drawing a nickel first is 3/5 . What is the probability of drawing a second nickel, given that the first coin drawn was nickel?

A. 24/95
B. 99/475
C. 18/19
D. 11/19

Answer 1

Answer: Just took the quiz, the answer is D. 11/19

Answer 2

The probability of two events happening is equal to the product of the probabilities of each event occurring. For this item, we let x be the unknown probability such that we can establish a relationship between them as,
(3/5)(x) = 33/95
The value of x from the equation is 11/19. Thus, the answer is letter D.