Question

4
2
17. Michael has a set of five cards shown
below. Michael will randomly select a card, not
replace it, and then select another card. What
is the probability that he selects a prime
number and then a 1?
12 3 4 5

Answer 1

Answer:  3/20

Explanation:

In that list, the numbers 2,3,5 are prime. The value 1 is not prime.

The probability of picking a prime number in that list is 3/5 because we have three prime numbers out of five total.

After not putting that card back, we have 5-1 = 4 cards left. The probability of picking "1" is 1/4 since there's one card we want out of four cards left over.

Multiply the fractions mentioned:

(3/5)*(1/4) = (3*1)/(5*4) = 3/20