7th grade Math Post-Test Session 5/24

At noon, Manny's Café had 12 banana muffins, 10 chocolate muffins, 6 blueberry muffins, and 7 vanilla muffins. What is the probability that the next muffin sold is a vanilla muffin? How likely is this event?

• 1/5, very likely

• 1/5, unlikely

• 7/30, unlikely

• 7/35, likely

• 12/35, likely

The numbers 7, 11, 12, 13, 14, 18, 21, 23, 27, and 29 are written on separate cards, and the cards are placed on a table with the numbers facing down.

The probability of picking a card with an even number is ____

• 7/10

• 9/10

• 3/10

• 2/10

What is the probability of randomly picking an ace of hearts from a standard deck of playing cards? Assume there are no jokers in the deck.

• 3/52

• 1/42

• 1/52

• 1/13

How likely is it that the following event occurs?

randomly selecting a short

straw from a set of 12

short straws and 12 long

straws

• neither likely nor unlikely

• likely

• somewhat likely

• not likely

How likely is it that the following event occurs?

rolling a six-sided die and

getting a 7

• somewhat likely

• likely

• neither likely nor unlikely

• impossible

Jenson has a basket containing oranges, apples, and pears. He picks a piece of fruit from the basket 40 times, replacing the fruit before each draw. From these 40 trials, Jenson estimates that the probability of picking an orange is 0.25, the probability of picking an apple is 0.3, and the probability of picking a pear is 0.45. How many times did Jenson pick an apple during the 40 trials?

• 10

• 12

• 15

• 18

Anita has a success rate of 80% on free throws in basketball. She wants to know the estimated probability that she can make exactly four of five free throws in her next game. How can she simulate this scenario? (Select TWO answers)

• Generate a set of five numbers using a number generator with the numbers0 to 9. The numbers 0 to 7 represent a make, and 8 and 9 represent a miss.

• Spin a spinner with five equal sections five times. On the spinner, four sections represent a make, and one section represents a miss.

• Roll a six-sided die five times. Thenumbers 1 to 4 represent a make,and numbers 5 and 6 represent amiss.

• Spin a spinner with three equalsections five times. On the spinner,one section represents a miss andtwo sections represent a make.

Lucas has five buttons in a container. Each button is a different shape. There is a star, an oval, a hexagon, a circle, and a heart. He picks one button, replaces it, and then picks another button.

The sample size for this compound event is _________

• 36

• 42

• 25

• 14

Sara and her friends are enjoying a bag of candy-coated chocolates. Just for fun, they remove 80 pieces of candy from the bag to check their color. The outcomes are shown in the table.

brown or orange-25

green or yellow-28

red or blue-27

Which statement is true based on the results in the table?

• All of the outcomes are equally likely because their relative frequencies are similar.

• All of the outcomes are equally likely because the relative frequency of picking brown or orange candies is greater than that of picking green or yellow.

• All of the outcomes are not equally likely because there is a lot of variation in their relative frequencies.

• All of the outcomes are not equally likely because the relative frequency of picking green or yellow candies is the highest.

Melanie goes to a shelter to buy a dog. She has settled on two dogs, an Alsatian and a bulldog. To decide between them, she plans to flip a coin. Before she does, she flips the coin 50 times to check for the fairness of the model. Her results are shown below.

heads24

tails26

The relative frequency of landing on heads is _____

• 0.52

• 0.63

• 0.48

• 0.50