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
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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
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.
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
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.
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
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.
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
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.
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
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.
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
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.