If you have the sample space of {5, 6, 7, 8, 9, 10, 11, 12, 13, 14}, what is the probability of getting a number greater than 10? P(greater than 10) = ?
Question
If you have the sample space of {5, 6, 7, 8, 9, 10, 11, 12, 13, 14}, what is the probability of getting a number greater than 10? P(greater than 10) = ?
Solution
To calculate the probability of getting a number greater than 10 from the sample space, you need to follow these steps:
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Identify the total number of outcomes in the sample space. In this case, the sample space is {5, 6, 7, 8, 9, 10, 11, 12, 13, 14}, so there are 10 possible outcomes.
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Identify the number of outcomes that satisfy the condition "greater than 10". In this case, the numbers greater than 10 are {11, 12, 13, 14}, so there are 4 such outcomes.
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The probability of an event is calculated as the number of favorable outcomes divided by the total number of outcomes. So, the probability of getting a number greater than 10 is 4 (favorable outcomes) divided by 10 (total outcomes).
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Therefore, P(greater than 10) = 4/10 = 0.4 or 40%.
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