Question

in a fruit basket the oranges and bananas are in ratio 2:3,15% of oranges are rotten and 10% of bananas are rotten. if a fruit is selected as random. then what is the probability that it is rotten

Answer 1

Since the oranges and bananas are in the ratio 2:3

the probability of picking and orange = 2/5

the probability of picking a banana = 3/5

the probability that the orange is rotten = 2/5 x 15/100 = 3/50

the probability that the banana is rotten = 3/5 x 10/100 = 3/50

the probability that the fruit chosen is rotten = 3/50 + 3/50

                                                                      = 6/50

                                                                      = 3/25 or 0.12