Math, asked by 12Harshmishra, 1 year ago

a box contains card number 11 to 123. A card is drawn at random from the box. Find the probability that the number on the drawn card is a square number and a multiple of 7

Answers

Answered by vibhu8

1/ total no. of cards

siddhartharao77: Not a square of 7

vibhu8: yeah?

siddhartharao77: U have to write all the multiples of 7 between 11 to 123

vibhu8: No it is asked that it is also a square no. and a multiple of seven too.

siddhartharao77: there are 2 conditions in this questions.(1) card drawn should be a square number. (2) card number should be a mulltiple of 7.

vibhu8: I think that it is only one condition.

siddhartharao77: No vibhu..There are 2 conditions

siddhartharao77: there is and statement not or.

vibhu8: Well than siddharth thanks a lot.

siddhartharao77: Okkk

Answered by siddhartharao77

Given that total number of cards n(S) = 113.

(1) Let A be the favorable outcomes of getting a square number.

Square numbers from 11 to 123 = 16,25,36,49,64,81,100,121.

n(A) = 8.

Therefore the required probability P(A) = n(A)/n(s)

= 8/113.

(2) Let B be the favorable outcomes of getting a number multiple of 7.

Multiple of 7 between 11 to 123 = 14,21,28,35,42,49,56,63,70,77,84,91,98,105,112,119.

n(B) = 16.

The required probability P(B) = n(B)/n(S)

= 16/113.

Hope this helps!

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