Question

Numbers 1 to 20 are written on 20 separate slips ( one number on one slip), kept in a box and mixed well. One slip is chosen from the box without looking into it. What is the probability of getting a prime number? *
2 points
( a ) 9/20
( b ) 2/5
( c ) 1/2
( d ) none of these​

Answer 1

Answer:

the probability of getting a prime no. is 9/20

because 1, 2 ,3 , 5 , 7, 11, 13 , 17, 19 are only prime numbers from 1 to 20.

therefore we can conclude that option a or 9/20 is the correct answer.

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Answer 2

Therefore the probability of getting a prime number is '2/5' or '0.4'. ( Option-b )

Given:

Separate slips are written with numbers 1 to 20, one number on each slip and kept in a box, and mixed well.

Now, one slip is chosen from the box without looking into it.

To Find:

The probability of getting a prime number in the slip.

Solution:

The given question can be easily solved as shown below.

Given that,

Separate slips are written with numbers 1 to 20, one number on each slip and kept in a box, and mixed well.

Now, one slip is chosen from the box without looking into it.

Prime numbers between 1 and 20  = 2, 3, 5, 7, 11, 13, 17, 19

Total number of prime numbers between 1 and 20 = 8

So Favourable outcomes = 8

Total number of outcomes = 20 ( 1 to 20 = 20 numbers )

⇒ Now probability of getting a prime number = ( Favourable outcomes ) / ( Total number of outcomes )

⇒ Probability of getting a prime number = 8 / 20 = 2/5

Therefore the probability of getting a prime number is '2/5' or '0.4'.

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