Exam 10: Probability and Counting Techniques

Two dice are rolled. Find the probability of getting a sum greater than 8.

How many different ways can 3 people stand in line at a cash register?

Decide whether the following is a binomial experiment. Recording the numerical results of rolling three dice 25 different times.

When a single card is drawn from a shuffled deck of cards, find the odds in favor of getting an ace.

Tickets for a drawing are sold for $60 each. The holder of the winning ticket wins a cash prize of $5,000. If 3,000 tickets are sold, find the expected value of the gain.

Which of the numbers that follow could represent a probability?

The bookstore has six red school jerseys, five blue school jerseys, and ten green school jerseys to Choose from. If a student selects one at random, find the probability it is red or green.

A lottery has one $2000 prize, two $1000 prizes, and ten $500 prizes. Two thousand tickets are sold At $5 each. Find the expectation if a person buys two tickets.

A card is drawn from a deck and then replaced. Then, a second card is drawn. Find the probability of getting an ace both times.

A package contains 15 candy canes, 13 of which are cracked. If 2 are selected, find the probability Of getting exactly one cracked candy cane.

Three coins are tossed. Find the probability that exactly two coins land tails up.

The children at a certain school were asked what they prefer to drink with their lunch, and the Following table summarizes the children's responses. The school only serves milk, chocolate milk, or water with lunch. What is the probability that the first student In line for lunch will be served their preferred beverage with their lunch?

Three coins are tossed. Find the probability that at least one coin lands heads up.

Find the probability of randomly selecting three science books and four history books from a box Containing five science books and six history books.

In a class of 20 students, there are 12 girls and 8 boys. Three students are selected to be teacher's assistants. Find the probability that the group consists of all girls.

A card is selected from an ordinary deck. Find the probability that the card was a 10 given that it was a heart.

At a particular college, 66% of the students live in campus housing. If 5 students are in line at the Campus bookstore, what is the probability that exactly 2 of them live in campus housing? Round to Four decimal places, if necessary.

The odds against an event are 7:4. Find the probability that the event will occur.

Decide whether the selection described is a combination or a permutation. Five club members are chosen to serve on a committee.

There are 75 balls in a bingo hopper. The ones numbered 1-15 are labeled with B, the ones from 16 -30 with I, from 31-45 N, from 46-60 G, and from 61-75 O. Find the probability of drawing a Number less than 22.