The table shows the number of limes and apples of the same size in a bag. If two of the fruits are picked at random, one at a time, without replacement, find the probability that : (i) both are good limes ; (ii) both are bad fruits ; (iii) one is a good apple and the other a bad lime. (b) Solve the equation .
Explanation
(a) Total number of fruits = 16 limes + 14 apples = 30 (i) P(both are good limes) = (ii) P(both are bad fruits) = (iii) P(one is a good apple and the other a bad lime) = = = Note : The arrangement is not specific. Hence, it can be a good apple first and then a bad lime or a bad lime first and then a good apple. (b)