A number is randomly picked from following list 9, 10, 11, 12, 13.... and so on till 32. What is th

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16 Jun 2017 Probability

A number is randomly picked from following list 9, 10, 11, 12, 13.... and so on till 32.
What is the probability that its a prime number?

OPtion

1) 9/28
2) 1/3
3) 1/4
4) 7/23
5) 8/23
6) 7/24
7) 8/25
8) 7/25
9) 1/5
10) None of these

Solution

Count of total numbers between 9 to 32 = 32 - 8 = 24

List of Prime numbers between 9 to 32 (both inclusive):
11, 13, 17, 19, 23, 29, 31
Count of (11, 13, 17, 19, 23, 29, 31) = 7

Probability of selecting prime number from numbers between 9 to 32 = 7/24

Correct Option: 6 Best Solution (26)

Himanshu Kesharwani   7 years AGO

prime number from 9 to 32 is 11,13,17,19,23,29,31 i.e, 7 prime numbers and total numbers are 24.
so probability of getting prime number is 7/24

Like? Yes (9) | No (1)  

Dr.Dipin Singh   7 years AGO

From 9 to 32, there are 24 numbers.
Out of these numbers , only 7 ( 11,13,17,19,23,29,31) are prime numbers.
So Probability of picking prime number is 7/24.

Like? Yes (5) | No   

jyothi chhabria   7 years AGO

total number of prime numbers between 9 to 32 is 7
total numbers are 24
probality is 7/24

Like? Yes (2) | No (1)  

Mukund Manohar   7 years AGO

Required Probability = Positive Outcome/Total Possible Outcome
= 7/24

Like? Yes (1) | No   

Sindhuja   7 years AGO

we have 24 numbers in total i.e, from 9 to 32. Since we have 7 prime numbers in between 9 and 32, if we randomly select 1 number,the probability that it will be prime is 7/24.

Like? Yes (1) | No   

ganesh chemanchula   7 years AGO

prime numbers between 9 and 32 are 11,13,17,19,13,29,31..total 7 numbers
Total numbers between 9 and 32 are 24
so probability of getting a prime number is 7/24
option 6.

Like? Yes | No   

palak Jain   7 years AGO

Prime numbers :11,13,17,19,23,29,31:7
Probability:7/24

Like? Yes | No   

G.S.Kantharao   7 years AGO

Tota No.ofl numbers from 9 to 32=24
No of primes =7
Probability =7/24

Like? Yes | No   

ayush   7 years AGO

total No's 24
prime No's 7
probability 7/24

Like? Yes | No   

Priyanka   7 years AGO

n(A)={11,13,17,19,23,29,31}
=7
n(S)={9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32}
=24
P(A)=n(A)/n(S)
=7/24

Like? Yes | No   

Mayur Shinde   7 years AGO

9 To 32 means total count is 24 and in between 9 to 32 only 7 prime nos are thr i.e. 11,13,17,19,23,29 & 31 so option 6 is correct

Like? Yes | No   

Poulami Banik   7 years AGO

There are total of 24 numbers and number of prime number is 7 so option 6 is the answer

Like? Yes | No   

Sudipta Mukherjee   7 years AGO

Total numbers are 24 and prime numbers are 7. So option 6 is the answer

Like? Yes | No   

aparna padakanti   7 years AGO

9to32 total 24 prime numbers are 7 probability is of 7/24

Like? Yes | No   

Siva   7 years AGO

11,13,17,19,23,29,31 total 7 prime numbers in 24 numbers . Probability
=7/24

Like? Yes | No   

Jayalakshmi   7 years AGO

no of prime nos from 9 to 32 is 7
total events space is 24

Like? Yes | No   

Sneha Shailesh   7 years AGO

There are total 7 prime numbers out of 24 in that list, i.e. 11, 13, 17, 19, 23, 29, 31. Hence probability = 7/24

Like? Yes | No   

Nitish Sinha   7 years AGO

Total numbers from 9 to 32 n(S) = 24
Total no. of prime numbers n(E)=7 {11,13,17, 19, 23, 29, 31}
n(P)=n(E)/n(S)
n(P)=7/24
Ans. Option 6

Like? Yes | No   

Ajay Gorakhnath Raut   7 years AGO

there are 7 Prime numbers between 9 to 32
and total number of events are 24
so probability of choosing randomly Prime number is 7/24

Like? Yes | No   

Shiva Prakaas   7 years AGO

there are totally 24 numbers from 9 to 32
the prime nos in the list are 11,13,17,19,23,29,31
so probability is 7/24

Like? Yes | No   

faizan   7 years AGO

Number of prime no. 7
Total no. 24
Probability 7/24

Like? Yes | No   

Jagadeesh    7 years AGO

there are totally 24 numbers
in that prime numbers are 7
probability of picking a prime number is =(7c1/24c1)
= 7/24

Like? Yes | No   

Isha khandelwal   7 years AGO

Coz there are 7 prime no. From 9 to 32 fo favourable no. Of events wille 7 and total no of event is 24 so by the formula 7/24 is the correct ans

Like? Yes | No   

Aaditya Shrivastava   7 years AGO

prime no.s between this range = 7
total no.s = 24
hence answer is 7/24

Like? Yes | No   

Shritansh   7 years AGO

Since 7 prime number 11,13,17,19,23,29,31
Total no.=24
So required probability =
7/24

Like? Yes | No   

jeet   7 years AGO

total number between 9 to 32= 24
total number of prime number= 7
ans= 7/24

Like? Yes | No