Games
In a certain game of chance, your chances of winning are 0.2. If you play the game five times and outcomes are independent, what is the probability you win all five times?
.00032
Freshman GPAs at Dodgeland High School have a mean of 2.93 and standard devation of .39. What is the probability a student has a GPA of between 2 and 3?
.5627
The probability you find a defective bag of popcorn is .02. What is the probability the first defective bag will be the 10th bag?
.0167
A quarterback completes 44% of his passes. It is the beginning of football season, and he has not played any games yet. Let X = the number of passes the quarterback throws until he completes a pass. What is the probability that the quarterback does not complete a pass until his 5th pass of the season?
0.043
Given a normal distribution with a mean of 70 and a standard deviation of 4.5, what is the probability a value is between 60 and 85?
0.986
A car comes in 3 different body styles and 5 different colors. How many possible options are there?
15
The probability someone gets a 5 on the AP Statistics test is .15. Ms. Lucius teaches 30 students. What is the probability of no more than 10 students getting a 5?
.997
The probability you will have a tire blowout is .15. What is the probability you will have fewer than 2 blowouts this week (school week)?
.8352
Karmen and Sophia are on a swim team and race in different events at a swim meet. The probability that Karmen will win her race at the swim meet is 0.1. The probability that Sophia will win her race at the swim meet is 0.3.
If the events of Karmen winning her race and Sophia winning her race are independent, what is the probability that either Karmen or Sophia will win her race at the swim meet?
0.37
The probability John wears a green shirt is .05. What is the probability it will take him a month or less (assume 30 days) to wear a green shirt?
.7854
A Roulette wheel has 18 red spots and 18 black spots plus 2 green spots. Each spot is numbered 1-36, with green spots numbered 0 and 00. What is the probability you land on a black spot and then a green spot?
.0249
The class average on a test was 78 with a standard deviation of 12 points. What is probability a student got 70% or less?
.2525
The probability it rains is .21. On average, how many days until it rains?
4.76 days
The average female basketball player is 6'0'' (72 inches). The standard deviation for average female heights is 3.3 inches. Brittany Griner is 6'9". What percentage of women are taller than her?
0.319%
The probability Bob orders dessert at any restaurant is .11. He goes out to eat once per week. What is the probability he orders dessert at least 3 times over the span of 6 months (assume 1 month = 4 weeks)?
.501
If I am rolling two fair dice, what is the probability that I roll a sum of 6 across both dice?
5/36 or 0.138
How many ways can I choose 8 papers to grade out of a class of 30 students?
5852925
The average person has 3.64 car collision claims in their lifetime with a standard deviation of 1.11. If Anna is in the bottom 20% of claims, how many claims has Anna had?
2.71 accidents.
The WHS Flag football team needs a touchdown on the last play to win. They have three equally likely plays: a long pass (LP), screen pass (SP), or end run (ER). The probabilities of scoring a touchdown (TD) with each are: P(TD|LP)=0.50 P(TD|SP)=0.30. P(TD|ER)=0.10
What's the probability they scored a touchdown and used the long pass?
0.165
The probability the cafeteria serves fish sticks is .03. What is the probability it will take them more than 10 days to serve fish sticks?
.7374
If Caroline rolls a die and it shows 4 she wins $2. If it shows anything else, she loses $.50. What is her expected value?
$-.08
The probability a student takes AP Statistics and AP Environmental Science is .05. The probability a student takes AP Statistics is .18. What is the probability a student takes AP Environmental Science given that the student takes AP Statistics?
.2778
An agent sells life insurance policies to five equally aged, healthy people. According to recent data, the probability of a person living in these conditions for 30 years or more is 2/3. Calculate the probability that after 30 years at least three people are still living.
0.790
Amy has 12 brown golf tees, 8 white golf tees, 10 red golf tees, 6 blue golf tees, and 12 green golf tees in her golf bag. If she selects one of the tees from the bag at random, what is the probability that she selects a tee that is not brown or blue?
5/8 = 0.625
It has been estimated that about 30% of frozen chickens contain enough salmonella bacteria to cause illness if improperly cooked. A consumer purchases 12 frozen chickens. Find the probability that the consumer buys exactly 4 contaminated chickens.
0.231