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# an unbiased die is tossed. find the probability of getting a prime number?

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### Mohammed

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Question

## An unbiased die is thrown. The probability of getting a prime number is

A

6 1 ​

B

3 1 ​

C

2 1 ​

D

3 2 ​ Easy Open in App

Updated on : 2022-09-05

Solution Verified by Toppr

Correct option is C)

Total number of outcomes =  {1,2,3,4,5,6}

Favourable outcomes =  {2,3,5}

Probability = 6 3 ​ = 2 1 ​

Solve any question of Probability with:-

Patterns of problems

>

43 4

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## An unbiased die is rolled find the probability of getting a prime number.

An unbiased die is rolled find the probability of getting a prime number.

Home > English > Class 14 > Maths > Chapter > Probability >

An unbiased die is rolled fi...

An unbiased die is rolled find the probability of

getting a prime number.

Updated On: 27-06-2022

00 : 30

Text Solution Open Answer in App A 1 2 12 B 3 5 35 C 5 7 57 D 5 8 58 Answer

Step by step solution by experts to help you in doubt clearance & scoring excellent marks in exams.

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## An unbiased die is tossed. Find the probability of getting a prime number.

An unbiased die is tossed. Find the probability of getting a prime number.

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An unbiased die is tossed. Find the probability of getting a prime number.

Question

An unbiased die is tossed. Find the probability of getting a prime number.

Open in App Solution

Step 1: Finding the total number of outcomes and the number of favourable outcomes

The sample space when an unbiased die is tossed is

{1, 2, 3, 4, 5, 6} .

So, the total number of outcomes are

6 .

A prime number is one that has two factors -

1 and itself.

The prime numbers are

2, 3, 5 .

So, the number of favorable outcomes are

3 .

Step 2: Finding the probability of getting a prime number

⇒Probability =Number of favorable outcomesTotal number of outcomes

⇒P(prime number)=36 ∴P(prime number)=12

Hence, the probability of getting a prime number is

12 . Suggest Corrections 0

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Mohammed 16 day ago

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