Question

A stack of 20 cards is numbered 1 through 20. If cards are drawn from the stack until the 3rd card is drawn, how many different outcomes would result in the 3 being drawn on the third draw?

A) 17
B) 16
C) 15
D) 14

Answer 1

The number of different outcomes that would result in the 3 being drawn on the third draw is 10.

Step-by-step explanation:

To find the number of different outcomes that would result in the 3 being drawn on the third draw, we need to consider the number of outcomes in A (the event of drawing a number before 3) and the total number of outcomes in S (the sample space).

From the given information, we know that the number of outcomes in A is 9. And the total number of outcomes in S is 19.

To calculate the number of outcomes that result in drawing the 3 on the third draw, we subtract the number of outcomes in A from the total number of outcomes in S: 19 - 9 = 10.