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You pick a card at random, put it back, and then pick another card at random.

3 4 5
What is the probability of picking a 4 and then picking a number greater than 4?
Write your answer as a fraction or whole number.

You pick a card at random, put it back, and then pick another card at random. 3 4 5 What-example-1
User AlexPogue
by
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1 Answer

9 votes

Explanation:

so, we have only 3 cards in total ?

picking a number greater than 4 means to pick a 5.

out of 3 cards the probability to pick a specific one (like a 4 or a 5) is then 1/3.

so, the probability to pick a 4 as first card is 1/3.

now we put that card back and then draw a second card.

the probability to draw a 5 there is also 1/3.

so, the combination of the probabilities of both events is 1/3 × 1/3 = 1/9 = 0.111111111...

User Eyal Gerber
by
8.8k points

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