Honors Probability Test Review

Peter is studying abroad for a semester. He can choose the first semester or second semester, then choose France, Spain, Germany, Italy, or Japan. Find the total number of outcomes that are possible.

A bag contains 3 blue marbles, 10 green marbles, 4 yellow marbles, and 8 red marbles. A marble is chosen at random, not replaced, then another marble is chosen. Find P(red, then red) as a simplfied fraction.

A website randomly generates a password after a new user registers. The password consists of 5 single digits by 1 letter. Find the number of passwords that can be generated only using numbers greater than 6 and no vowels.

A letter from the word SAPPHIRE is selected at random 75 times. The results from the experiment are shown in the table.

There are 15 students waiting at the bus stop. If the bus can only fit 6 more students, how many ways can the driver select the students to ride the bus?

A pencil box contains 5 red, 12 blue, 10 green, and 3 yellow markers. If a marker is chosen at random, replaced, and then another marker is chosen, find P(green, then blue) as a simplified fraction.

A card is chosen at random from a standard deck. Find P(queen or 5) as a fraction (in simplest form), decimal, and percent.

A website randomly generates a password after a new user registers. The password consists of 5 single digits by 1 letter. Find the number of passwords that can be generated if digits cannot repeat.

The spinner above is spun 60 times. The results are given in the table below. What is the theoretical probability of spinning an even number? What is the experimental probability of spinning an even number? Compare to theoretical.

How many ways can 4 candy bars be chosen from a store that sells 30 candy bars?

There are 18 offensive players on the hockey team. How many ways can the coach choose a left wing, center, and right wing to start the game?

The spinner above is spun 60 times. The results are given in the table below. What is the theoretical probability of spinning a shaded number? What is the experimental probability of spinning a shaded number? Compare to the theoretical.

Theoretically, if you were to spin the spinner above 200 times, how many times could you expect it to land on an unshaded section?

There are 45 golfers in a tournament. How many ways can they win first, second, and third place?

Credit cards place a three ­digit security code on the back of cards. How many codes are possible?

A lock contains the numbers 0-39. The lock will open when the lock is spun to the correct 3-numbers, in order. How many different 3-number combinations are possible for the lock if the numbers cannot repeat?

Each spinner below is spun once. Find the probability of spinning a number greater than 2, then a square.

A bag contains 3 basketballs, 10 baseballs, 7 golf balls, and 5 footballs. A ball is chosen at random, not replaced, then another is chosen. Find P(a football, then a baseball) as a simplified fraction.

Based on the experiment, if you were to spin the spinner above 200 times, how many times could you expect it to land on an unshaded section?

A bag contains 4 cherry, 8 orange, 6 strawberry and 10 lemon gummy bears. A gummy bear is chosen at random, eaten, then another is chosen. Find the probability of selecting a lemon, eating it, then selecting a cherry.

A sheet of stickers contains 15 purple, 9 red, 12 yellow, and 4 green stickers. A sticker is chosen at random, placed on a paper, then another sticker is chosen. Find P(red, then yellow).

A box contains 8 apple, 10 fruit punch, 10 grape, and 12 berry juice boxes. A juice box is chosen at random. Find the probability of selecting an apple or a grape juice box.

A homeowner’s association has 12 board members. How many ways can a president, vice president, secretary, and treasurer be chosen?

How many ways can 10 students line up for lunch?

A quiz has eight multiple choice questions with four options for each (A, B, C, and D). How many ways are there to answer the questions?