Bunuel wrote:
From a group of 5 managers (Joon, Kendra, Lee, Marnie and Noomi), 2 people are randomly selected to attend a conference in Las Vegas. What is the probability that Marnie and Noomi are both selected?
(A) 0.1
(B) 0.2
(C) 0.25
(D) 0.4
(E) 0.6
Kudos for correct solution.
Our goal is to find P(M and N both selected)Method #1:
P(M and N both selected) = P(one of them is selected 1st AND the other selected 2nd)
= P(one of them is selected 1st) x P(the other selected 2nd)
= (2/5)(1/4)
= 1/10
= 0.1
Aside: P(one of them is selected 1st) = 2/5 because I'm allowing for either Marnie or Noomi to be selected first.
Method #2:
P(M and N both selected) = P(M selected 1st AND N selected 2nd
OR N selected 1st AND M selected 2nd)
= P(M selected 1st AND N selected 2nd)
+ P(N selected 1st AND M selected 2nd)
= (1/5)(1/4)
+ (1/5)(1/4)
= 1/20
+ 1/20
= 1/10
= 0.1
Answer: A
Cheers,
Brent