Imagine that you are in a casino and have $10 in your pocket. You see a machine with three levers and probabilities listed below. What is the mathematical expectation of winning if you play this machine?" This blog post will explore the mathematics of compound probability, specifically as it relates to gambling machines in casinos. We will consider the expected value of playing such a machine, and discuss some possible strategies for ensuring that you come out ahead while gambling. By understanding compound probability, you can make more informed choices about how to spend your money (or gamble it away!) at the casino!
| Question | Answer |
|---|---|
| Form Name | Compound Probability 13 4 Form |
| Form Length | 1 pages |
| Fillable? | No |
| Fillable fields | 0 |
| Avg. time to fill out | 15 sec |
| Other names | 13 4 practice compound probability answers, 13 4 practice compound probability form k, 13 4 probabilities of compound events answers, 13 4 compound probability form g |
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FORM G
For Exercises
1.You roll a 2 on a number cube and spin a 3 on a spinner.
2.You choose a King from a deck of cards and get heads in a coin toss.
3.You roll a number cube and get a 6, and roll again if the first roll is a 6.
4.What is P(A and B) if P( A) = 1 and P(B) = 2 , where A and B are independent events?
27
5.What is the probability of rolling a 4 on a fair number cube and getting “tails” when tossing a coin?
6.What is P(A or B) if P(A) = 32% and P(B) = 17%, where A and B are mutually exclusive events?
7.At a local high school, 34% of the students take a bus to school and 56% of the students walk to school. What is the probability of randomly selecting a student that takes a bus or walks to school?
8.What is P(A or B) if P( A) = 1 and P(B) = 1 , where A and B are overlapping events?
42
9.A spinner has 8 equal sections numbered 1 to 8. What is the probability of the spinner stopping on a number that is a multiple of 3 or is greater than 5?
10.A local aquarium has 6 turtles, 12 penguins, and 8 sharks. You randomly select 1 animal to watch. What is the probability that you select a turtle or a shark?
11.In a local town, 55% of the residents drive to work, 23% of the residents own a dog, and 6% of the residents walk to work. Find the probability that a randomly chosen resident owns a dog or walks to work.
Use the spinner at the right for Exercises
12.What is the probability of the arrow stopping on a consonant or one of the first 4 letters of the alphabet?
13.What is the probability of the arrow stopping on “X” on the first spin and “F” on the second spin?
14.What is the probability of the arrow stopping on “J” or “A” on one spin?