Question

You randomly draw twice from this deck of cards 98878 What is the probability of drawing an 8, then drawing an even number, without replacing the first card? Write your answer as a fraction.​

Answer 1

3/10

Explanation:

There are 5 cards at first.

There are 3 cards with number 8.

First drawing:

p(8) = 3/5

Now there are 4 cards left, 9887.

Two of the 4 cards are even numbers.

Second drawing:

p(even) = 2/4 = 1/2

Since there is no replacement, these two drawings are independent events.

p(eight then even) = 3/5 × 1/2

p(eight then even) = 3/10