A basket of fruit contains 5 bananas 8 mangos and 7 apples. two fruits are randomly picked. what is the probability of getting an apple and banana?
First, we need to find the total number of ways to pick 2 fruits out of the 20 fruits in the basket:
Total number of ways = 20C2 = 20! / (2! * (20-2)!) = 190
Next, we need to find the number of ways to pick 1 apple and 1 banana:
Number of ways = (7C1 * 5C1) = (7 * 5) = 35
Now, we can find the probability of getting an apple and a banana:
Probability = Number of ways to pick an apple and a banana / Total number of ways
Probability = 35 / 190
Probability = 7 / 38
Therefore, the probability of getting an apple and a banana when two fruits are randomly picked from the basket is 7/38.