A die is rolled 600 times and the occurrence of the outcomes 1, 2, 3, 4, 5 and 6 are given below in the table: Outcome 1 2 3 4 5 6 Frequency 200 30 120 100 50 100 If one of the dice rolls is picked at random, find the probability of getting a prime number.A)
Question
A die is rolled 600 times and the occurrence of the outcomes 1, 2, 3, 4, 5 and 6 are given below in the table: Outcome 1 2 3 4 5 6 Frequency 200 30 120 100 50 100 If one of the dice rolls is picked at random, find the probability of getting a prime number.A)
Solution
To find the probability of getting a prime number, we need to determine the total number of outcomes that are prime and divide it by the total number of possible outcomes.
From the given table, we can see that the outcomes 2, 3, and 5 are prime numbers. The frequencies of these outcomes are 30, 120, and 50 respectively.
To find the total number of outcomes that are prime, we add up the frequencies of these outcomes: 30 + 120 + 50 = 200.
The total number of possible outcomes is the sum of all the frequencies in the table: 200 + 30 + 120 + 100 + 50 + 100 = 600.
Therefore, the probability of getting a prime number is 200/600 = 1/3 or approximately 0.3333.
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