Question

Probability

A box has cards numbered 14 to 99. Cards are mixed thoroughly and a card is drawn at random from the box . Find the probability that the card drawn from the box has

a) an odd number. b) a perfect square number.

Answer 1

let the card has an odd number be 'A'
A{15,17,19,21,23,25,27,29,31,33,35,37,39,41,43,45,47,49,51,53,55,57,59,61,63,65,67,69,71,73,75,77,79,81,83,85,87,89,91,93,95,97,99}
n(A)=44
p(A)=1/n(A)
=1/44
let the perfect square number be 'B'
B{16,25,36,49,64,81}
n(B)=6
p(B)=1/n(B)
=1/6

Answer 2

Hey!

Here is your answer.

Probability = the possibility of getting :

a ) an odd number

b ) a perfect square number
______________________________

Let's solve:

Here,

a )
E1 = Event of observing an odd number

Sample space = { 15,17,19,21,23,25,27,29,31,33,35,37,39,41,43,45,47,49,51,53,55,57,59,61,63,65,67,69,71,73,75,77,79,81,83,85,87,89,91,93,95,97}

n(E1)=42 (number of observations)

P(E1) = n(E1)÷N

=42÷85

b )
E2= Event of observing a perfect a square number

Sample space = { 16,25,36,49,64,81 }

n(E2) = 6

P(E2) = n(E2) ÷ N

=6÷85

Therefore, the probability of getting an odd number is 42/85 and that of a perfect square number is 6/85

⭐ Hope it's clear⭐