MCA 6 Data Analysis & Probability

Daniel has hats and shirts.

• He has 1 black hat, 1 tan hat, and 1 blue hat.

• He has 1 white shirt, 1 green shirt, and 1 red shirt.

How many different outcomes are possible if Daniel chooses 1 hat and 1 shirt? (L. I)

Answer explanation

3 colors of hats x 3 colors of shirts = 9 outcomes

Ray spins a spinner once and flips a penny twice. Which outcomes are possible?

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Answer explanation

Selected the outcomes with 1 spinner result and 2 penny results.

Selected 2 outcomes: P, tails, tails and G, heads, tails.

A teacher put 1 pen and 1 index card on each student’s desk. Which tree diagram could be used to find all possible color combinations of a pen and an index card?

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Answer explanation

There are 2 choices of pen colors and 3 choices of index card colors.

Tags

CCSS.7.SP.C.8B

Ted has 2 cans of tomato soup, 1 can of chicken soup, and 1 can of vegetable soup. He picks 1 can without looking. What is the probability he picks a can of tomato soup?

Answer explanation

Recognized 4 total soup cans and 2 tomato soup cans; 2 tomato soup cans/4 total soup cans = 2/4.

Tags

CCSS.7.SP.C.7B

The tree diagram shows all possible combinations of toast that Rex can eat for breakfast.

How many different combinations are possible?

• 3

• 7

• 12

• 21

Answer explanation

3 x 2 x 2 = 12

Tags

CCSS.7.SP.C.8B

Andre has a spinner with 3 equal sections labeled 1–3 and a game piece with 9 sides labeled 1–9. He spins the spinner and rolls the game piece and multiplies the results together.

Which is the greatest outcome that is possible?

• 12

• 14

• 27

• 81

Answer explanation

3 x 9 = 27

Tags

CCSS.7.EE.B.3

The results of a coin-toss experiment are shown in the table.

After 2 rounds of tossing the coin, what is the relative frequency of tossing tails?

Tags

CCSS.7.SP.C.6

Each morning, Ashley randomly picks a pen from her desk. At the end of the day, she returns the pen to her desk. The graph shows the colors of pens she picked for the last 30 days.

What is the experimental probability that she will pick a green pen next?

Tags

CCSS.7.SP.C.6

A dentist has 1 toothbrush of each color in a box and 1 cup of each color in a different box.

The dentist lets a child choose 1 toothbrush and 1 cup. How many combinations of 1 toothbrush and 1 cup are possible?

• 4

• 8

• 10

• 24

Marcus had red and green gumdrops in a bag. Without looking, he picked 1 gumdrop from the bag, recorded the color, and put the gumdrop back in the bag. He did this 10 times.

What is the experimental probability of picking a red gumdrop at random from the bag?

Answer explanation

Recognized 3 red gumdrops and 10 total gumdrops; 3 red gumdrops/10 total gumdrops; 3/10.

Tags

CCSS.7.SP.C.6