Question

You pick a card at random, put it back, and then pick another card at random. 2 3 4 What is the probability of picking a 4 and then picking a 2? Write your answer as a fraction or whole number.

Answer 1

The probability of picking a 4 and then picking a 2 is 1/9

How to determine the probability?

From the question, the given parameters are

Cards = 2, 3 and 4

Also, from the question, we have

The selected card is returned to the pack

So, the probability of selecting a card with number 4 is

P(4) =n(4)/Total

This gives

P(4) = 1/3

Also, the probability of selecting a card with number 2 is

P(2) =n(2)/Total

This gives

P(2) = 1/3

The required probability is

P(4 and 2) = 1/3 * 1/3

Evaluate

P(4 and 2) = 1/9

Hence, the probability is 1/9

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