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The frequency of the outcomes 1, 2, 3, 4, 5 and 6 after 600 dice rolls are shown below:

What is the probability of getting a prime number?

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13

23

4960

39125

answer is A.

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Detailed Solution

Given a data of 600 rolls of dice.
Question Image

We have to find the probability of getting a prime number.
The probability of an event A is given by,

P (A) = Number of favourable outcomes T o t a l number of outcomes

Total number of times the dice are rolled, n(S) = 600.
From the table, the frequency that

1

comes

= 200

The frequency that

2

comes

= 30

The frequency that

3

comes

= 120

The frequency that

4

comes

= 100

The frequency that

5

comes

= 50

The frequency that

6

comes

= 100

The prime numbers in the series are 2, 3, and 5
So, as per the formula,

Probability of getting a prime number = N u m b e r of times t h e prime number o c c u r s t o t a l number of times the dice rolled

⇒ Probability(getting prime number) = 30 + 120 + 50 600 ⇒ Probability(getting prime number) = 200600 ⇒ Probability(getting prime number) = 13

Hence, the probability of getting a prime number is

13

.
Therefore, option 1 is the correct option.

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The frequency of the outcomes 1, 2, 3, 4, 5 and 6 after 600 dice rolls are shown below:What is the probability of getting a prime number?

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The frequency of the outcomes 1, 2, 3, 4, 5 and 6 after 600 dice rolls are shown below:

What is the probability of getting a prime number?