# Probability - examples

Probability is the measure of the likeliness that an event will occur. The probability (chance) is a value from the interval <0;1> or in percentage (0% to 100%) expressing the occurrence of some event. 0 is impossible event and 1 (100%) means the certainty event.

1. A pizza A pizza place offers 14 different toppings. How many different three topping pizzas can you order?
2. Family 94 boys are born per 100 girls. Determine the probability that there are two boys in a randomly selected family with three children.
3. Boys and girls There are 11 boys and 18 girls in the classroom. Three pupils will answer. What is the probability that two boys will be among them?
4. Three shooters Three shooters shoot, each one time, on the same target. The first hit the target with a probability of 0.7; second with a probability of 0.8 and a third with a probability of 0.9. What is the probability to hit the target: a) just once b) at least once c
5. Internet anywhere In school, 60% of pupils have access to the internet at home. A group of 8 students is chosen at random. Find the probability that a) exactly 5 have access to the internet. b) At least 6 students have access to the internet
6. Rectangle In rectangle with sides 3 and 10 mark the diagonal. What is the probability that a randomly selected point within the rectangle is closer to the diagonal than to any side of the rectangle?
7. Ace From complete sets of playing cards (32 cards) we pulled out one card. What is the probability of pulling the ace?
8. Pediatrician Pediatrician this month of 21 working days takes 3 days holidays. What is the probability that on Monday will be at work?
9. Bureau of Labor Bureau of Labor is a state institution that provides mike and the rest for their so-called clients. The mission of the Bureau of Labor is spend taxpayer money to provide relaxation and benefits to those who do not want to work. Popularly speaking sense the
10. Word What is the probability that a random word composed of chars T, H, A, M will be MATH?
11. Two doctors Doctor A will determine the correct diagnosis with a probability 86% and doctor B with a probability 87%. Calculate probability of correct diagnosis if patient is diagnosed by both doctors.
12. Dice How many times must throw the dice, the probability of throwing at least one six was greater than 90%?
13. Sales From statistics of sales goods, item A buy 51% of people and item B buys 59% of people. What is the probability that from 10 people buy 2 item A and 8 item B?
14. Scrap From 6 products are 3 scrap. What is the probability that the random pick of 2 products have no defective product?
15. Dices We will throw two dice. What is the probability that the ratio between numbers on first and second dice will be 1:2?
16. Event probability The probability of event P in 8 independent experiments is 0.33. What is the probability that the event P occurs in one experiment (probability is same)?
17. Balls From the urn in which are 7 white balls and 17 red, gradually drag 3-times without replacement. What is the probability that pulls balls are in order: red red red?
18. Shooter The probability that a good shooter hits the center of the target circle I is 0.1. The probability that the target hit intercircle is II 0.58. What is the probability that it hits the target circle I or II?
19. Events Event N has probability of 0.24. What is the probability that the event N occurs in 8, 5, 4 try.
20. Pizza A school survey found that 12 out of 15 students like pizza. If 6 students are chosen at random, what is the probability that all 6 students like pizza?

Do you have an interesting mathematical example that you can't solve it? Enter it, and we can try to solve it.

To this e-mail address, we will reply solution; solved examples are also published here. Please enter e-mail correctly and check whether you don't have a full mailbox.