There is a stack of 10 cards, each given a different number from 1 to 10. Suppose we select a card randomly from the stack, repl

Question

3 years ago

9

There is a stack of 10 cards, each given a different number from 1 to 10. Suppose we select a card randomly from the stack, repl

ace it, and then randomly select another card. What is the probability that the first card is an even number and the card is greater than 7? Write your answer as a fraction in simplest form.

Mathematics

2 answers:

Greeley [361] · Answer 1 · 2022-06-10T15:55:44+03:00

Answer:

3/20

Step-by-step explanation:

There are 5 even numbers and 3 numbers greater than 7.

The probability of selecting an even number is 5/10 = 1/2

Since the card is replaced, the probability of a number greater than 7 is 3/10

So the probability of selecting an even card, then a card greater than 7 with replacement is 1/2 x 3/10 = 3/20

aev [14] · Answer 2 · 2022-06-10T14:36:02+03:00

Answer:

1/5 chance or 20% chance.

Step-by-step explanation:

When doing this problem we can start with only being able to go for 7 and up. This already makes us go down to a 3/10. Now we have 8, 9, and 10. Only two of those numbers are even 8, and 10. Which gives us a 2/10. 2/10 then simplifies to 1/5.

:D