Question

A dice is rolled 600 times and the occurrence of the outcomes 1, 2, 3, 4, 5 and 6 are given below :
The probability of getting a prime number is
A. 1/3
B. 2/3
C. 49/60
D.39/125

Answer 1

Given : Here dice is rolled 600 times.

So, total number of trials = 600

No. of getting prime number i.e 2, 3, 5 = 30 + 120 + 50 = 200

P(getting a prime number) = 200/600 = 2/6 = ⅓

Hence, the probability of getting a prime number is ⅓.

Option (A) ⅓  is correct.

 

Extra information :  

Probability is the study of the chances of events happening.

Event:

A Possible outcome or combination of outcomes is called an event.

The probability of happening of an event always lies from 0 to 1.

The sum of all the probabilities of all possible outcomes of an experiment is 1.

Required probability = Number of trials in which the event E has happened / Total number of trials

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Answer 2

Answer:

Step-by-step explanation:

Given :-

Total number of trials = 600

To Find :-

Probability of getting a prime number.

Formula to be used :-

P(getting a prime number) = Prime Number/Total number of trials

Solution :-

Putting all the values, we get

P(getting a prime number) = Prime Number/Total number of trials

⇒ P(getting a prime number) = 30 + 120 + 50/600

⇒ P(getting a prime number) = 200/600

⇒ P(getting a prime number) = 1/3

Hence, The probability of getting a prime number is 1/3.