Question

12 cards numbered 1 to 12 are placed in box mixed up thoroughly and then a card is drawn at random from the box if it is known that the number on the drawn card is more than 3,find the probability that it is an even number

Answer 1

Answer:

= 5 / 9

Step-by-step explanation:

Let A = The number on the card is more than 3

A = { 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 }

B = The number on card is an even number

B = { 2 , 4 , 6 , 8 , 10 , 12 }

                 A ∩ B = { 4 , 6 , 8 , 10 , 12 }

    ∴            n (A) = ⁹C₁ = 9

                   n (B) = ⁶C₁ = 6

                   n (A ∩ B) = ⁵C₁ = 5

Now, Probability the number on card drawn card is even number and it is known that the number on the drawn card is more than 3 = P (B/A)

∵                 P (B/A) = P(A ∩ B) / P (A)

                = n (A ∩ B) / n (A)

                 = 5/9

Good luck !!

Answer 2

Answer:

Hope this helps u