Book Online Demo

Check Your IQ

Try Test

Courses

Offline Centres

Two dice are thrown simultaneously. The probability that the sum of the numbers appearing on the dice is a prime number is ____.

see full answer

Start JEE / NEET / Foundation preparation at rupees 99/day !!

21% of IItians & 23% of AIIMS delhi doctors are from Sri Chaitanya institute !!

An Intiative by Sri Chaitanya

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

Two dice are thrown simultaneously. The probability that the sum of the numbers appearing on the dice is a prime number is

512

.
It is given that,

2

dice thrown randomly.
Question Image

The sample space is,

n (S) = 36

.
The combination for the sum of number on

2

dices is prime are,

(1, 1), (1, 2), (2, 1), (2, 3), (3, 2), (4, 1), (1, 4), (1, 6), (6, 1), (2, 5), (5, 2), (4, 3), (3, 4), (5, 6), (6, 5)

.
Let

A

be the event of getting the sum on dice as prime numbers.

n (A) = 15

P (A) = N u m b e r of favourable outcomes T o t a l number of outcomes

The probability for sum of

2

numbers appearing as prime number on two dice is,

= 1536

= 512

Hence, the probability is

512

Watch 3-min video & get full concept clarity

JEE

NEET

Foundation JEE

Foundation NEET

CBSE