Topic 7 - Probability

Watching the weather channel, you can read the probability of it raining tomorrow. Match each term to the corresponding probability of it raining tomorrow.

Probability of rain < 1/2 is ​ ​ (a)  

Probability of rain = 0 is ​ (b)  

Probability of rain = 1 is ​ (c)  

Probability of rain > 1/2 is ​ (d)  

• Unlikely
• Impossible
• Certain
• Likely

Tags

CCSS.7.SP.C.5

Twenty-five volunteers will wear one of 6 blue, 7 green, 8 yellow, and 4 red aprons during an upcoming food drive. If the aprons are assigned randomly, what is the probability that a volunteer is assigned an apron that is NOT green?

• 6/25

• 7/25

• 8/25

• 18/25

Miguel is comparing the probabilities of two spinners. Select all the true statements. (Hint: There are 3 answers)

• It is twice as likely that pointer A will land on 1 as compared to pointer B.

• The probability that pointer B will land on an

  even number is 1/2.

• The probability that pointer A will land on 1 is 3/8

• Spinner A is a fair spinner.

• It is equally likely that pointer A will land on an odd number as compared to pointer B.

Sanji throws an 8-sided solid with faces numbered 1 through 8. Select all of the true statements.

• P(even number) = 1/8

• P(multiple of 3) = 1/4

• P(odd number) = 1/2

• P(number less than 8) = 1

• P(the number 9) = 0

Tags

CCSS.7.SP.C.5

The table shows the outcomes of rolling two number cubes at the same time and finding the product of the two numbers. What is the theoretical probability of rolling a product greater than 10?

Mathematical Equivalence

ON

The table shows the outcomes of rolling two number cubes at the same time and finding the product of the two numbers. If Abby rolls two number cubes three hundred times, how many times would she expect a product greater than 20? (Hint: Make a proportionality equation)

Mathematical Equivalence

ON

Tags

CCSS.7.RP.A.3

The spinner shown has eight equal-sized sections. The pointer lands on an even number 135 times out of 250 spins. Select all the true statements. (Hint: There are 3 answers)

• The pointer lands on an even number more often than expected.

• The pointer lands on an even number less often than expected.

• The expected probability of landing on an even number is 54%.

• The actual probability of landing on an odd number is 46%.

• It is equally likely that the pointer will land on an even or odd number.

A fair coin is flipped 10 times and lands on heads 8 times. Provide one reason to justify the difference between the experimental and theoretical probabilities.

Answer: ​ (a)   is not a great number of trials. With ​ (b)   flips of the coin, the ​ (c)   probability will likely approach the ​ (d)   probability of 50%.

• 10
• 8
• more
• experimental
• theoretical

In a bag of 25 marbles, 5 are red, 7 are blue, 10 are green, and 3 are yellow. The results of a marble being randomly selected and replaced 50 times are shown in the table. For which color is the experimental probability (known from the table) closest to the theoretical probability (known from the question) of being selected?

• Red

• Blue

• Green

• Yellow

Three hundred tenured professors at Florida Universities are randomly sampled and are asked: “On what day of the week were you born?” The results are in the table. Assuming that each weekday has an equal theoretical probability, which day of the week has the most unusual observed frequency in this sample?

• Sunday

• Wednesday

• Tuesday

• Friday