A basket of fruits contains 5 bananas, 8 mangoes, and 7 apples. Two fruits are randomly selected without replacement. Calculate the probability of selecting an apple and a banana
• 7/76
• 7/80
• 3/5
• 21/100
Total number of fruits = 5 (bananas) + 8 (mangoes) + 7 (apples) = 20
Probability of selecting an apple first = 7/20
Probability of selecting a banana second = 5/19
Multiplying these probabilities for independent events:
(7/20) * (5/19) = 35/380 = 7/76
Therefore, the correct answer is:
• 7/76