Asked by Tyler

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, replace it, and then randomly select another card. What is the probability that the first card is an even number and the second card is greater than ?

Write your answer as a fraction in simplest form.
Answered by Tyler
A number cube is rolled and a coin is tossed. The number cube and the coin are fair. What is the probability that the number rolled is less than 4 and the coin toss is heads?

Write your answer as a fraction in simplest form.
Answered by Bot
The probability of selecting an even number card on the first draw is 5/10 or 1/2, since there are 5 even numbers out of 10 total cards. Since we replace the card before the second draw, the probability of selecting a card greater than 6 is also 5/10 or 1/2, since there are 5 cards with a value greater than 6.

To find the probability of both events happening together, we multiply the individual probabilities:

1/2 * 1/2 = 1/4

Therefore, the probability of selecting an even number card on the first draw and a card greater than 6 on the second draw is 1/4.