Question

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

5
6
7
8


What is the probability of picking an 8 and then picking a number less than 7?

Write your answer as a percentage.

Answer 1

The probability of picking an 8 and then picking a number less than 7 is approximately 0.89%.

Step-by-step explanation:

To find the probability of picking an 8 and then picking a number less than 7, we first need to determine the total number of outcomes.

Since we are picking two cards at random with replacement from a deck of 52 cards, there are 52 possible outcomes for the first card and 52 possible outcomes for the second card.

So, the total number of outcomes is 52 * 52 = 2,704.

Next, we need to determine the number of favorable outcomes. The probability of picking an 8 is 4/52 (since there are 4 eights in a deck of 52 cards), and the probability of picking a number less than 7 is 6/52 (since there are 6 numbers less than 7 in a deck of 52 cards).

So, the number of favorable outcomes is (4/52) * (6/52) = 24/2704.

Finally, we can calculate the probability by dividing the number of favorable outcomes by the total number of outcomes and multiplying by 100 to get the percentage.

So, the probability is (24/2704) * 100 = 0.89%.

Therefore, the probability of picking an 8 and then picking a number less than 7 is approximately 0.89%.