Question

a bag contains some square cards. a pirme number from 1 to 100 has been written on each card.find the probability of getting a card that the sum of the digits of a prime number written on it is '8'.

Answer 1

Hey There!!


Here, we will first need to list all the primes from 1 to 100.

The primes from 1 to 100 are:

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97




As you can see, there are a total of 25 primes from 1 to 100.

Now, the primes with sum of digits equal to 8 are:

17, 53, 71


Thus, there are 3 primes with sum of digits equal to 8.

So, Probability becomes:

$\boxed{P = \frac{3}{25}}$

Hope it helps
Purva
Brainly Community

Answer 2

Answer:

Hey There!!

Here, we will first need to list all the primes from 1 to 100.

The primes from 1 to 100 are:

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97

As you can see, there are a total of 25 primes from 1 to 100.

Now, the primes with sum of digits equal to 8 are:

17, 53, 71

Thus, there are 3 primes with sum of digits equal to 8.

So, Probability becomes:

\boxed{P = \frac{3}{25}}P=253