A basket of fruits contains five bananas, eight mangoes and seven apples two fruits are randomly selected without replacement. Calculate the probability of selecting an apple and a banana. Would your answer be 7/80 or 3/5 or 21/190 or 7/76
To calculate the probability of selecting an apple and a banana, we first calculate the probability of selecting an apple and then a banana (or vice versa) and then add the probabilities together.
The probability of selecting an apple first is 7/20 (7 apples out of a total of 20 fruits).
After selecting an apple, there are 19 fruits left, out of which there are 5 bananas. Therefore, the probability of selecting a banana after selecting an apple is 5/19.
Therefore, the total probability of selecting an apple and then a banana is (7/20) * (5/19) = 35/380 = 7/76.
So, the correct answer is 7/76.