Question

A number cube is rolled 360 times, and the results are recorded as follows: 96 ones, 31 twos, 49 threes, 76 fours, 45 fives, and 63 sixes. What is the experimental probability of rolling a 2 or a 3? (1 point)
Answer choices
0.16
0.22
0.37
0.78

Answers

Bot
The experimental probability of rolling a 2 or a 3 is the number of times a 2 or a 3 is rolled divided by the total number of rolls.

Number of times a 2 or 3 is rolled: 31 + 49 = 80

Total number of rolls: 360

Experimental probability of rolling a 2 or a 3: 80/360 = 0.22

Therefore, the correct answer is 0.22.
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From a barrel of colored marbles, you randomly select 5 blue, 2 yellow, 3 red, 4 green, and 2 purple marbles. Find the experimental probability of randomly selecting a marble that is not yellow.
Answer choices
9/16
7/8
8/9
3/4
Bot
The total number of marbles in the barrel is:

5 + 2 + 3 + 4 + 2 = 16

The number of marbles that are not yellow is:

16 - 2 = 14

So the experimental probability of selecting a marble that is not yellow is:

14/16 = 7/8

Therefore, the correct answer is 7/8.
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A number cube is rolled 360 times, and the results are recorded as follows: 96 ones, 31 twos, 49 threes, 76 fours, and 63 sixes. What is the experimental probability of rolling a 2 or a 3?
Answer choices
0.16
0.22
0.37
0.78
Bot
The experimental probability of rolling a 2 or a 3 is the number of times a 2 or a 3 is rolled divided by the total number of rolls.

Number of times a 2 or 3 is rolled: 31 + 49 = 80

Total number of rolls: 360

Experimental probability of rolling a 2 or a 3: 80/360 = 2/9 = 0.22 (rounded to the nearest hundredth)

Therefore, the correct answer is 0.22.
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A survey showed that 62% of car owners prefer two-door cars, 26% prefer four-door cars, and 12% have no preference. You ask 400 people. How many do you think will prefer the two-door cars?
Answer choices
126 people
152 people
196 people
248 people
Bot
If 62% of car owners prefer two-door cars, then the estimated number of people who prefer two-door cars out of a sample of 400 people is:

0.62 x 400 = 248

Therefore, the answer is 248 people.

Hence, the correct answer is 248 people.
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Tony works in a factory that produces 1,000 computers each day. When 50 computers were sampled, it was found that 7 were defective. Estimate how many defective computers are made each day.
Answer choices
140 computers
7 computers
169 computers
265 computers
Bot
If 7 out of 50 computers in the sample were found to be defective, we can estimate that the proportion of defective computers in the entire production is also 7/50.

We can use this proportion to estimate the number of defective computers produced each day:

7/50 = x/1000

Solving for x, we get:

x = 140

So the estimated number of defective computers produced each day is 140.

Therefore, the answer is 140 computers.

Hence, the correct answer is 140 computers.
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The spinner is divided into equal parts. Use a tree diagram to find the probability that the spinner will land on a vowel both times if the spinner is spun twice.
Answer choices
4/9
2/3
7/9
1/3
Bot
Without knowing the exact divisions of the spinner, we cannot accurately create a tree diagram for this problem. However, we can solve this problem using probability rules.

Assuming the spinner has 3 vowels and 3 consonants, the probability of getting a vowel on the first spin is 3/6 or 1/2. Since the spinner is spun twice, the probability of getting a vowel on both spins is:

(1/2) x (1/2) = 1/4

So the probability that the spinner will land on a vowel both times is 1/4.

Therefore, the correct answer is not in the answer choices provided.
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If two coins are tossed, what is the probability that the first coin will show heads and the second coin will show tails?
Answer choices
1/2
1/4
1/8
1/16
Bot
The probability of flipping heads or tails on a single coin toss is both 1/2. Since the coin tosses are independent events, the probability of the first coin showing heads and the second coin showing tails is:

(1/2) x (1/2) = 1/4

Therefore, the answer is 1/4.

Hence, the correct answer is 1/4.

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