Math Practice Problems for Sixth Grade in Probability/Statistics

6P-19) Answer: Yes

Toss two dice. Each time the two numbers add up to an even number, Player A gets one point. Each time they add up to an odd number, Player B gets one point. Is this game fair?  Explain in detail how you found your answer using words, numbers, and/or pictures.

6P-18) Answer: 6

Wally loves animals. Today he brought home 3 dogs, 2 cats, and even 1 cow.  However, Wally's mom says he can keep only 1 of each type of animal for a pet. How many different ways can Wally choose 1 dog, 1 cat, and 1 cow?  Explain in detail how you found your answer using words, numbers, and/or pictures.

6P-17) Answer: 2/5

There are five slices of pizza in a box:   2 pepperoni, 1 mushroom, and 2 eggplant. If you reach into the box without looking and take a slice, what is the probability you will get a pepperoni slice?  Explain in detail how you found your answer using words, numbers, and/or pictures.

6P-16) Answer: 36

A high school senior was packing for his trip abroad.  He packed 4 different shirts, 3 different pairs of pants, and 3 different sweaters.  He plans to wear a shirt, pair of pants, and sweater each day.  How many different outfits are possible?  Explain in detail how you found your answer using words, numbers, and/or pictures.

6P-15)  Answer: 1/12

In the problem above (#16), one of the boy’s shirts is tan and one of the sweaters is brown.  What is the probability that the outfit he wears the first day of his trip includes the tan shirt and brown sweater?   Explain in detail how you found your answer using words, numbers, and/or pictures.

6P-14) Answer: 15

At Pizza Perfect these toppings are available -- pepperoni, mushrooms, olives, Canadian bacon, sausage, and peppers. How many different two-topping pizzas can be made? What are the choices? Explain in detail how you found your answer using words, numbers, and/or pictures.  Explain in detail how you found your answer using words, numbers, and/or pictures.

6P-13) Answer: 24 ways

How many different ways can you arrange four books on a shelf?   Explain in detail how you found your answer using words, numbers, and/or pictures.

6P-12) Answer: On seven tosses, he had both "heads"; on eight tosses, he had a "heads" and a "tails"; on five tosses, he had both "tails"

Len tossed two coins 20 times. He got 22 "heads" and 18 "tails." If he got both "heads" on 7 tosses, describe the 20 tosses.  Explain in detail how you found your answer using words, numbers, and/or pictures.

6P-11) Answer: ¼

You toss two coins in the air.  What is the probability of both coins landing on heads?  Explain in detail how you found your answer using words, numbers, and/or pictures.

6P-10) Answer: 10 combinations

The Tropical Fish Club has 9 fish to give away: 3 Black Mollies, 3 Red Platys, and 3 Golden Guppies. Mr. Norris put 3 fish into a jar for Stuart to take home. How many different combinations of 3 fish could Stuart have taken home?  Explain in detail how you found your answer using words, numbers, and/or pictures.

6P-9) Answer: 9 sums; probability 4/10

There is a game at the County Fair in which five balls are placed into a basket. Each ball has a number printed on it: 0, 2, 4, 6, 7. A person picks three of the balls from the basket at one time and adds the numbers. 1. How many different sums are possible? 2. What is the probability of scoring higher than 12?  Explain in detail how you found your answer using words, numbers, and/or pictures.

6P-8) Answer: examples: 1/2 "I will get an A on this test." "It will rain tomorrow." "I will have pets."; 1 "I will breath." "I have blood." "I have parents."; 0 "It will never rain." "I will become a cat." "I (14 yrs. Old) will drive home."

Name and justify three events that have a probability of 1/2, three events that have a probability of 1, and three events that have a probability of 0.  Explain in detail how you found your answer using words, numbers, and/or pictures.

6P-7)

Draw a spinner that fits all of these clues: There are five numbers on the spinner. Five is the greatest number. One of the numbers on the spinner comes up about 1/2 of the time. The number 3 comes up about 1/8^th of the time. The number 2 comes up most often. The probabilities of 1,4, & 5 coming up are equal?   Explain in detail how you found your answer using words, numbers, and/or pictures.

6P-6)

Draw a spinner that fits these clues: The probability of spinning a 2 is equal to the probability of spinning a 1. The probability of spinning all of the numbers is not equal. The probability of spinning a number other than 1 is 75%. There are three numbers on the spinner.  Explain in detail how you found your answer using words, numbers, and/or pictures.

6P-5) 

In a fish tank, there are 36 fish. There are 24 tetras and 12 platys. The owner wants to remove all of the fish to clean the tank. The owner nets 12 fish and removes an equal number of platys and tetras. What is the probability that next fish removed will be a tetra?  Explain in detail how you found your answer using words, numbers, and/or pictures.

6P-4)

Julio and Julia are playing a game with the dice. They roll both dice and them subtract the smaller number from the larger number. Julio gets 10 points for each answer that is an odd number and Julia gets 10 points for each answer that is an even number. Is this game fair? Why or why not?  Explain in detail how you found your answer using words, numbers, and/or pictures.

6P-3)

Fran wrote checks for her phone bill, gas bill, and electric bill.  After she mailed her bills, she wasn’t sure she put the right check in each envelope.  What is the probability that exactly one check went to the right company?   Explain in detail how you found your answer using words, numbers, and/or pictures.

6P-2)

There are six teams in a softball league. Each team will play each of the other teams twice. How many games will be played in this softball league?  Explain in detail how you found your answer using words, numbers, and/or pictures.

6P-1)

When Susan was 11, she spent about $5 on entertainment each month. When she was 13, she spent about $15 each month. If this rate of change continues, how much will she be spending when she is 15? When she is 17? Draw a line graph that shows how her spending changes each month across these years?  Explain in detail how you found your answer using words, numbers, and/or pictures.

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