Four cards numbered from 1 to 4 are placed in a bag. Five cards lettered A, E, I, O, and U are placed in another bag. One card is drawn from each bag. The number of outcomes in the sample space is? A) 2 B) 9 C) 16 D) 20

1 Answer
May 31, 2018

D) #20#

Explanation:

The bags are separate (independent) events. Only one selection is made from each bag. The total number of outcomes is simply the product of the sample space sizes of each bag.

The first bag of numbers has #4# possibilities. The second bag of letters has #5# possibilities.

Total possibilities #= 4 xx 5 = 20#

The answer is D) #20#.