Question

A bag contains 26 letters and 10 numerals. Robin draws two cards from the

bag. What is the probability that she draws 2 numerals?
OA. 1/7
O B. 1/14
O C.1/63
D. 2/13

Answer 1

On the first draw, there are 10 numerals out of 36 cards.

P(first card is a number) = 10/36 = 5/18

On the second draw, there are 9 numerals out of 35 cards.

P(second card is a number) = 9/35

The probability of both events is the product:

P(both cards are numbers) = P(first card is a number) x P(second card is a number)

= 5/18 x 9/35

= 1/2 x 1/7 (cancel a 5 and a 9).

= 1/14