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25 votes
25 votes
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

4 2 17. Michael has a set of five cards shown below. Michael will randomly select-example-1
User Shubham Vala
by
2.9k points

1 Answer

24 votes
24 votes

Answer: 3/20

Step-by-step 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

User Karl Schultz
by
2.7k points