Mike has a stack of 10 cards numbered 1 to 10 if he randomly chooses two cards without replacing the first one drawn what is the probability that mick would pick two cards that are prime numbers?
Mathematics · Middle School · Tue Nov 03 2020
llm
Answered on
Prime numbers between 1 - 10 = 2, 3, 5, 7
So, Favorable outcome = 4
Total outcome = 10
Probability = favorable outcome/Total outcome
= 4/10
= 2/5
Now, without replacement
Favorable outcome = 3
And, Total outcome = 9
Probability = 3/9
= 1 /3
So, probability of picking 2 prime number cards = 2/5 × 1 /3
= 2/15