High School

A die is rolled 600 times, and the occurrences of the outcomes 1, 2, 3, 4, 5, and 6 are given below. What is the probability of getting a prime number?

A. \(\frac{1}{3}\)
B. \(\frac{2}{3}\)
C. \(\frac{49}{60}\)
D. \(\frac{39}{125}\)

Answer :

The probability of getting a prime number when rolling a dice 600 times is approximately 0.52.

To find the probability of getting a prime number when rolling a dice 600 times, we first need to determine the number of outcomes for each prime number. The outcomes for each number are as follows: 1 - 97 occurrences, 2 - 104 occurrences, 3 - 99 occurrences, 4 - 95 occurrences, 5 - 108 occurrences, and 6 - 97 occurrences. The total number of prime number outcomes is 104 + 99 + 108 = 311. The probability of getting a prime number is then 311/600 = 0.5183, which can be simplified to approximately 0.52.

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