A probability value is listed at the top of each column. Determine the probability for each situation, then drag and drop each situation into the column under its correct probability.
0.5
0.2
0.4
responses
the probability of choosing a soccer ball out of a bag containing 4 soccer balls, 1 playground ball, and 3 basketballs.
the probability of choosing a blue marble out of a bag containing 3 red, 1 green, 4 blue and 2 yellow marbles.
the probability of rolling an even number on a die.
the probability of flipping a head on a fair coin.
the probability of choosing a red block out of a bag containing 1 red, 1 blue, and 3 green blocks.
the probability of choosing a tennis ball out of a bag containing 5 rubber balls, 3 tennis balls, 6 bouncy balls, and 1 squishy ball.
0.5
- the probability of flipping a head on a fair coin.
0.2
- the probability of choosing a red block out of a bag containing 1 red, 1 blue, and 3 green blocks.
0.4
- the probability of choosing a soccer ball out of a bag containing 4 soccer balls, 1 playground ball, and 3 basketballs.
- the probability of rolling an even number on a die.
- the probability of choosing a tennis ball out of a bag containing 5 rubber balls, 3 tennis balls, 6 bouncy balls, and 1 squishy ball.
the probability of choosing a blue marble out of a bag containing 3 red, 1 green, 4 blue and 2 yellow marbles?
The probability of choosing a blue marble out of a bag containing 3 red, 1 green, 4 blue, and 2 yellow marbles is 4/10 or 0.4.
Therefore, the situation belongs in the column labeled 0.4.
Suppose that the radius of a circle is 9.5 cm.
Question 1
To the nearest tenth, what is the area of the circle? (Use 3.14 for.)
Responses
A 29.8 cm 2
B 59.7 cm 2
C 173.5 cm 2
D 283.4 cm 2
Question 2
To the nearest tenth, what is the circumference of the circle? (Use 3.14 for
.)
Responses
A 29.8 cm
B 59.7 cm
C 151.2 cm
D 167.8 cm
For a circle with radius 9.5 cm:
1. The area is calculated as A = πr^2 = 3.14 * 9.5^2 = 3.14 * 90.25 ≈ 283.4 cm^2. So, the answer is D) 283.4 cm^2.
2. The circumference is calculated as C = 2πr = 2 * 3.14 * 9.5 = 59.7 cm. So, the answer is B) 59.7 cm.
Twenty-six students apply to serve as an usher at a school function. Eight of the those applying are freshmen, 7 are sophomores, 6 are juniors, and 5 are seniors. Suppose 13 of those who apply are randomly selected by drawing names. Which statement BEST describes this situation?
Responses
A The situation is an example of uniform probability because exactly
of the applicants are being selected.
The situation is an example of uniform probability because exactly 1 2 of the applicants are being selected.
B The situation is not an example of uniform probability because the same number of students will be selected as rejected.The situation is not an example of uniform probability because the same number of students will be selected as rejected.
C The situation is an example of uniform probability because freshmen, sophomores, juniors, and seniors have equal probabilities of being selected.The situation is an example of uniform probability because freshmen, sophomores, juniors, and seniors have equal probabilities of being selected.
D The situation is not an example of uniform probability because freshmen, sophomores, juniors, and seniors do not have equal probabilities of being selected.The situation is not an example of uniform probability because freshmen, sophomores, juniors, and seniors do not have equal probabilities of being selected.
D. The situation is not an example of uniform probability because freshmen, sophomores, juniors, and seniors do not have equal probabilities of being selected. This is because there are different numbers of students from each grade applying, so the chances of being selected vary depending on the grade level.
Which event has the highest likelihood?
Responses
A The likelihood of randomly drawing a quarter from a bag that contains 5 quarters, 2 dimes and 4 pennies.The likelihood of randomly drawing a quarter from a bag that contains 5 quarters, 2 dimes and 4 pennies.
B The likelihood of choosing an even number while randomly drawing a card from a cup containing 20 cards numbered 1 – 20.The likelihood of choosing an even number while randomly drawing a card from a cup containing 20 cards numbered 1 – 20.
C The likelihood of rolling a 7 on a standard six-sided number cube.The likelihood of rolling a 7 on a standard six-sided number cube.
D The likelihood of randomly drawing a queen from a standard deck of cards.The likelihood of randomly drawing a queen from a standard deck of cards.
A. The likelihood of randomly drawing a quarter from a bag that contains 5 quarters, 2 dimes, and 4 pennies has the highest likelihood as there are 5 quarters, which is the highest number in the bag compared to the other scenarios.
A fast food company puts a prize in each kid’s meal. There are 5 different prizes. The prizes were randomly placed in 60 kid’s meals. The results are shown in the table below.
Prizes in Kids' Meals
Prize Number of Meals
book 18
action figure 9
sippy cup 14
bouncy ball 12
spy glasses 7
Based on the data, what is the probability that the next kid’s meal will contain a book?
Responses
A 0.180.18
B 0.430.43
C 0.30.3
D 0.20.2
To find the probability of the next kid's meal containing a book, we need to calculate the number of meals that contained a book divided by the total number of meals.
Number of kids' meals with a book = 18
Total number of kids' meals = 60
Probability = Number of kids' meals with a book / Total number of kids' meals
Probability = 18 / 60
Probability = 0.3
Therefore, the probability that the next kid’s meal will contain a book is 0.3, which corresponds to option C.