Question

A bag contains 5 black, 7 red and 3 white balls. A ball is drawn from the bag at random. Find the probability that the ball drawn is not black

Answer 1

Total no. of possible outcomes = 15{5 black, 7 red & 3 white balls}

E ⟶ event of drawing black ball

No. of favourable outcomes = 5 {5 black balls}

P (E) =5/15 =1/3

`barE`⟶ 𝑒𝑣𝑒𝑛𝑡 𝑜𝑓 𝑛𝑜𝑡 𝑑𝑟𝑎𝑤𝑖𝑛𝑔 𝑏𝑙𝑎𝑐𝑘 𝑏𝑎𝑙𝑙

P `(barE)`= 1 − 𝑃(𝐸)

= 1-(1/3) =2/3