What is the probability that the two students are the same gender?

The probability that two consecutively chosen students are the same sex is 1/2.

What is the probability that the student is a boy?

This means that the probability of choosing a boy OR an A student is 1 – 3/14, or 11/14.

What is the probability that a student chosen at random out of 3 girls and 4 boys is a boy a girl a boy or a girl?

There are 3 girls and 4 boys. So the probability that a student chosen is a boy is 4/7.

What is the probability that when the set time arrives all four alarms will buzz quizlet?

Each of the four alarms will buzz at the set time with a probability of . 98 independently of the others. What is the probability that when the set time arrives, all four alarms will buzz? There is a 10\% chance of experiencing a sore throat (S) and a 30\% chance of experiencing a fever (F).

What is the probability of experiencing only nausea?

The probability of experiencing only nausea is P(N) – P(N and D) = 0.2 – 0.15 = 0.05.

What is the probability of an event that is certain to happen?

An event that is certain to happen has a probability of 1. An event that cannot possibly happen has a probability of zero. If there is a chance that an event will happen, then its probability is between zero and 1.

What is the probability that when a theft occurs all four systems will detect it?

.99 independently
For safety reasons, four different alarm systems were installed in the vault containing the safety deposit boxes at a Beverly Hills bank. Each of the four systems detects theft with a probability of . 99 independently of the others.

What is the probability of a win given the game is a home game?

Since there is a 50\% chance the teams games are home then there is a 50\% chance the game is away, which is pretty easy. Then if the game is home they have a 90\% chance to win and a 10\% chance to lose. If the game is away they have a 75\% chance to win and a 25\% chance to lose.

What is the probability that a randomly chosen person will learn Spanish successfully?

There is a 70\% chance of successfully learning Spanish if method A is used, and a 85\% chance of success if method B is used.

What formula will give you the probability of experiencing neither of these side effects?

What is the probability of experiencing neither of the side effects? You want to compute P(neither side effect) = P(not S and not F) = P(not S or F) = 1 – 0.34 = 0.66. You may find that using a probability table is simpler than using formulas.