Question

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

2
3
4
5
6


What is the probability of picking a 4 and then picking a number greater than 4?

Write your answer as a percentage.

Answer 1

Answer:8%

Step-by-step explanation:Since the cards are put back after each pick, the two picks are independent events.

The probability of picking a 4 on the first pick is 1/5, as there is one card with a value of 4 out of five cards in total.

The probability of picking a number greater than 4 on the second pick is 2/5, as there are two cards with values greater than 4 (5 and 6) out of five cards in total.

The probability of both events occurring (picking a 4 and then a number greater than 4) is the product of the probabilities of each event:

1/5 x 2/5 = 2/25

So the probability of picking a 4 and then picking a number greater than 4 is 2/25.

To express this as a percentage, we can multiply by 100:

2/25 x 100 = 8%

Therefore, the probability of picking a 4 and then picking a number greater than 4 is 8%.