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Name _____________________________

Date ___________________

Probability
Find the number of possible choices when you choose one item from each category.

1.	14 socks, 6 pairs of shoes, 9 pairs of pants, 11 shirts, 6 scarves

2.	10 video games, 8 CDs

3.	* This is a pre-made sheet. Use the link at the top of the page for a printable page.

Find the probability. Write your answer as a fraction in simplest form.

1.	A jar contains 20 pink and 4 gray marbles. A marble is drawn at random. P(pink).

2.	You roll a number cube numbered from 1 to 6. P(a number less than 5).

Find the probability. Write your answer as a decimal rounded to the nearest hundredth.

1.	A jar contains 6 brown and 24 violet marbles. A marble is drawn at random. P(brown).

2.	A jar contains 20 pink, 22 yellow, and 5 violet marbles. A marble is drawn at random. P(not violet).

Find the probability. Write your answer as a percent rounded to the nearest whole percent.

1.	A jar contains 19 gray, 26 orange, 10 white, and 20 navy marbles. A marble is drawn at random. P(not gray).

2.	You roll a number cube numbered from 1 to 6. P(not a 1).

Key #2

aKey #2

Find the probability.

1.	You roll a number cube numbered from 1 to 6. P(a composite number) Express the probability as a fraction.

2.	A number from 8 to 14 is drawn at random. P(an odd number) Express the probability as a decimal. Round to the nearest hundredth.

Find the probability. Assume that the spinner is separated into equal sections.

1.	You roll a number cube numbered from 1 to 6. You then spin a spinner with 3 sections each with a different color. The spinner has the colors gray, brown, and red. P(gray and 3)

2.	You roll a cube which has the numbers 12, 13, 16, 17, 19, and 22 on it. You then spin a spinner which has 4 sections. The letters on the spinner are A, E, D, and F. P(a number greater than 13 and F)

Find the probability.

1.	A deck of cards has 3 brown, 6 gray, and 5 blue cards. You pick 2 cards from the deck. Cards are not returned to the deck after they are picked. P(the first card is blue and the second card is not blue)

2.	There are 6 gray, 4 yellow, and 5 orange marbles in a hat. You pick 4 marbles from the hat. Marbles are not returned after they have been drawn. P(four gray marbles in a row)

Find the probability. Assume that the spinner is separated into equal sections.

1.	You roll a cube which has the numbers 12, 14, 17, 19, 22, and 23 on it. You then spin a spinner which has 5 sections. The letters on the spinner are G, J, F, C, and D. P(not G and a number divisible by 4)

2.	You roll a number cube numbered from 1 to 6. You then spin a spinner with 5 sections each with a different color. The spinner has the colors yellow, navy, orange, green, and purple. P(navy and 4)

Key #2

aKey #2

Complete.

1.	How many combinations of two letters are possible from the letters T, Z, D, C, and J?

2.	There are 7 things in a hat. How many ways can you pick 4 things from the hat at once?

Complete.

1.	How many permutations can you make from the letters A through I?

2.	How many five digit numbers can you make by arranging the numbers 4, 8, 9, 2, and 7?

Complete.

1.	In how many ways can Emma, Daniel, Steven, Rachel, and Joseph stand in line?

2.	How many ways can a president and vice-president be selected in a class of twenty-one students?

Complete.

1.	Lauren shows her friend Jessica a deck of cards. Assuming the cards in the deck are randomly distributed, what is the probability that Lauren draws an ace and does not replace it, and then draws another ace?

2.	You have eight pennies, nine nickels and six dimes in a piggy bank. If you turn the bank upside down and shake it until a coin comes out of the slot, what is the probability that you will get out two pennies in a row?

Key #2

aKey #2

Complete.

1.	Katherine has taken thirty-five math quizzes this year. Of those, she scored above 90% on five of them and 80% or above on eleven of them. What is the probability that she will score from 80% to 90% on her next math quiz?

The Ramirez family grew a large crop of sunflowers this year. As they were collecting the seeds and drying them, naturally they ate some to see how they tasted. In all they opened about two hundred seeds. Some of them they could not eat (about 25) because there was no embryo inside. In six cases they could not eat the seed because there was a worm inside. Assuming these results are typical for the entire crop, as they eat the seeds throughout the year, what is the probability that any particular seed chosen at random will be edible? State your answer as a percent rounded to the nearest tenth of a percent.

Complete.

1.	You are playing the "shell" game. In this game, there is object (let's say a coin) hidden under one of three cups and you have to try and guess which cup it is under. Assuming the game is fair and there are three cups, what is the probability you will guess correctly on the first try?

2.	If you flip a fair coin four times and it comes up heads each time, does this mean that for some reason the probability of getting heads is greater than the probability of getting tails on that particular day?

Complete.

1.	Proteins are made from linear sequences of amino acids. How many different proteins could be made from the amino acids phenylalanine, glutamic acid, and lysine?

2.	Mr. Snorp is sending teams of math superstars from his school to a mathematics contest in Bigtown. He has eight students to choose from and the teams must consist of four people. How many ways are there for him to choose different four person teams from his eight candidates?

Answer Key

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Probability
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