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Name _____________________________
Date ___________________
Probability
Find the number of possible choices when you choose one item from each category.
1.   7 flavors, 3 toppings


2.   6 pens, 3 notebooks


3.   12 socks, 10 pairs of sunglasses, 9 pairs of pants, 10 scarves



Find the probability. Write your answer as a fraction in simplest form.
1.   You roll a number cube numbered from 1 to 6.
P(4).


2.   You roll a number cube numbered from 1 to 6.
P(a number divisible by 2).



Find the probability. Write your answer as a decimal rounded to the nearest hundredth.
1.   You roll a number cube numbered from 1 to 6.
P(a number greater than 6).


2.   A jar contains 24 violet and 5 gray marbles. A marble is drawn at random.
P(violet).



Find the probability. Write your answer as a percent rounded to the nearest whole percent.
1.   A number from 9 to 21 is drawn at random.
P(an odd number).


2.   A jar contains 20 pink and 20 blue marbles. A marble is drawn at random.
P(blue).



 

Key #2
aKey #2
Find the probability.
1.   You roll a number cube numbered from 1 to 6.
P(4)
Express the probability as a decimal. Round to the nearest hundredth.


2.   A number from 13 to 20 is drawn at random.
P(a prime number)
Express the probability as a percent. Round to the nearest percent.



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 pink, gray, and violet.
P(an even number and violet)


2.   You roll a cube which has the numbers 8, 10, 11, 14, 17, and 19 on it. You then spin a spinner which has 6 sections. The letters on the spinner are E, D, F, A, B, and K.
P(F and 14)



Find the probability.
1.   There are 5 blue, 5 black, and 2 red marbles in a hat. You pick 2 marbles from the hat. Marbles are not returned after they have been drawn.
P(the first marble is red and the second marble is black)


2.   A deck of cards has 4 white, 5 navy, and 3 blue cards. You pick 3 cards from the deck. Cards are not returned to the deck after they are picked.
P(the first card is blue, the second card is not blue, and the third card is white)



Find the probability. Assume that the spinner is separated into equal sections.
1.   You flip a coin and toss a 1-6 number cube.
P(3 and heads)


2.   There are 6 blue, 6 black, and 4 green marbles in a hat. You pick 4 marbles from the hat. Marbles are not returned after they have been drawn.
P(the first marble is blue, the second marble is green, the third marble is not black, and the fourth marble is black)



 

Key #2
aKey #2
Complete.
1.   How many three person committees can be chosen from a group of nine people?


2.   There are 5 things in a hat. How many ways can you pick 1 thing from the hat at once?



Complete.
1.   In how many ways can Steven, Benjamin, Amber, and Hunter stand in line?


2.   Madison, Nathan, Courtney, Grace, and Morgan ran in a race. In how many different orders can they finish the race?



Complete.
1.   How many two person committees can be chosen from a group of eight people?


2.   In how many ways can Julia, Nicholas, Cody, Christopher, and Alyssa stand in line?



Complete.
1.   Sean counts the grasshoppers in the garden on Monday. He finds eighteen big ones and seven small ones. On Tuesday he counts them again. This time he counts a total of eighty-two grasshoppers. What is a reasonable prediction to make as to how many of the grasshoppers were large ones when he counted them on Tuesday?

2.   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 15) because there was no embryo inside. In eight 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.


 

Key #2
aKey #2
Complete.
1.   Sierra rolls a die twice. What is the probability she will get a three both times?

2.   What is the probability, that on two consecutive rolls of a die, first an odd number, then an even number will come up?


Complete.
1.   Barky the clown is giving away lollipops at the circus. He has eight different kinds of lollipops. Now Barky is a mathematically inclined clown, (very rare in the circus world) and he likes to give them away in order such that for every sequence of eight lollipops he gives away he repeats the sequence as few times as possible. How many different sequences are there for Barky to give out his lollipops assuming he always gives them away in sequences of eight different colors in a row each time?

2.   There are three sticks on the table. Each stick is a different color. How many ways are there to arrange the sticks in a line so that no two arrangements have the same color sequence?


Complete.
1.   What is the theoretical probability of randomly pulling a red card from standard deck of 52 playing cards? Assume that the red cards are randomly distributed throughout the deck.

2.   There are nine black marbles and three white marbles in a bag. What is the probability of pulling out a black marble on the first try?


 


Answer Key


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