Question

Claire has 8
cards: 4
red cards and 4
blue cards. She draws 3
cards from the set at random.

What is the probability that all 3
cards are red?



1/7

1/14

1/35

1/70

Answer 1

Answer:

• B) 1/14

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Considering that cards are not replaced once drawn.

Probability of first red:

• P(r) = red/total = 4/8 = 1/2

Probability of second red:

• P(r2) = 3/7

Probability of third red:

• P(r3) = 2/6 = 1/3

So the probability of three reds is:

• P(3 reds) = 1/2*3/7*1/3 = 1/14