Jack rolls a six-sided number cube then chooses one card from a deck of four cards numbered 1 through 4. What is the probability that neither the first or second options are 2?

Answer 1

There are 6 possible outcomes when rolling the number cube: 1, 2, 3, 4, 5, and 6.

For the first option (rolling the number cube), the probability of not getting a 2 is 5/6, since there are 5 outcomes that are not a 2.

For the second option (choosing a card from a deck of four cards), the probability of not getting a 2 is 3/4, since there are 3 cards that are not a 2.

To find the overall probability that neither the first nor second option are 2, we multiply the probabilities of each option:

(5/6) * (3/4) = 15/24 = 5/8

Therefore, the probability that neither the first nor second options are 2 is 5/8.