Suppose the probability that a randomly chosen individual has type AB+ blood is $0.04$. If six individuals are selected at random, what is the probability that none of them have type AB+ blood?

A parallel system consists of identical modules, each with a probability of failure of $0.10$. Modules fail independently. What is the minimum number of modules required so that the probability the system works (at least one module works) exceeds $0.99999$?

Suppose $12\%$ of all employees at a company work remotely, and $45\%$ have a gym membership. If these two characteristics are independent, what is the probability that a randomly selected employee works remotely and has a gym membership?

If you want to know the probability of event A or event B occurring, which operation do you use?

Suppose $P\left(A\right)=40\%$, $P\left(\bar{A}\right)=60\%$, $P(B\mid A)=70\%$, and $P(B\mid \bar{A})=20\%$. Find $P(A\mid B)$ using Bayes' Theorem.

The probability that a randomly chosen person in a certain city is a vegetarian is $18\%$. If $7$ people are picked at random from this city, what is the probability that at least $1$ of them is a vegetarian?

What is the probability of rolling four consecutive $7$'s with a fair ten-sided die (faces numbered $1\text{–}10$)?

Fill in the blanks.

In probability language, the phrase "both events occur" signals that we should apply the _________________________________ Rule.

In a survey of $15,000$ high school students, $12\%$ reported witnessing a serious accident. If $4$ students are chosen at random, what is the probability that all $4$ have witnessed a serious accident?

A manufacturer produces flash drives, each with a probability of $0.992$ of functioning properly for $3$ years. If a pack contains $80$ independent flash drives, what is the probability that all $80$ will function properly for $3$ years?