Nathan surveyed the students in his geography class and his algebra class about video games. • 8 out of the 30 students in his geography class like his favorite video game.
• 14 out of the 26 students in his algebra class like his favorite video game.
If Nathan randomly selects one student from each class, what is the probability that neither student likes Nathan's favorite video
game?

Step-by-step explanation:

Recall that a probability mass function defined on a discrete random variable X is just a function that gives the probability that the random variable equals a certain value k

In this case we have the event  

“The computer will ask for a roll to the left when a roll to the right is appropriate” with a probability of 0.003.

Then we have 2 possible events, either the computer is right or not.

Since we have 4 computers in parallel, the situation could be modeled with a binomial distribution and the probability mass function

This gives the probability that k computers are wrong at the same time.