1. P(7) (1 point)
1/7
1/8***
3/8
7/8
2. P(not 7) (1 point)
1/7
1/8
5/8
7/8***
3. P(a multiple of 2) (1 point)
0.25
0.5***
0.625
0.75
4. P(a factor of 12) (1 point)
12.5%
25%
50%
62.5%***
5. Which event has the greatest likelihood? (1 point)
spinning 7
spinning not 7***
spinning a multiple of 2
spinning a factor of 12
The Question is find the probability of spinning each of the following, there is a spinner with 7,8,1,2,3,4,5,6,
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To find the answers to these probability questions, you need to understand the concepts of probability and how to calculate it.
1. P(7): This represents the probability of getting a 7. In a standard die, there are 6 equally likely outcomes (numbers from 1 to 6). To find the probability of getting a 7, you need to check if a 7 is even possible. Since a die only has numbers from 1 to 6, the probability of getting a 7 is 0. Therefore, none of the provided options (1/7, 1/8, 3/8, 7/8) are correct.
2. P(not 7): This represents the probability of not getting a 7. Since a standard die has 6 possible outcomes, we can subtract the probability of getting a 7 (which we found to be 0) from 1 to find the probability of not getting a 7. Therefore, the correct answer is 1 - 0 = 1, or 100%. Among the given options, 7/8 is the correct answer.
3. P(a multiple of 2): This represents the probability of getting a number that is divisible by 2 (an even number). In a standard die, there are three even numbers (2, 4, and 6) out of the six possible outcomes. The probability can be calculated by dividing the number of favorable outcomes (3) by the total number of outcomes (6). The correct answer is 3/6, which simplifies to 1/2. Among the given options, 0.5 is the correct answer.
4. P(a factor of 12): This represents the probability of getting a number that is a factor of 12. The factors of 12 are 1, 2, 3, 4, 6, and 12. To find the probability, divide the number of favorable outcomes (6) by the total number of outcomes (6) since all the outcomes (numbers from 1 to 6) are valid in this case. The correct answer is 6/6, which simplifies to 1. Among the given options, 62.5% is the correct answer.
5. The question is asking which event has the greatest likelihood. From the previous answers, we know that the probabilities for spinning 7, spinning not 7, spinning a multiple of 2, and spinning a factor of 12 are 0, 1, 0.5, and 1 respectively. Therefore, spinning not 7 has the greatest likelihood with a probability of 1 (100%).