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.(1 point)Responses776Start Fraction 7 over 76 End Fraction21190 Start Fraction 21 over 190 End Fraction780 Start Fraction 7 over 80 End Fraction35 Start Fraction 3 over 5 End Fraction
First, calculate the total number of ways to choose 2 fruits out of 20 fruits:
20 choose 2 = 20! / (2! * (20-2)!) = 190
Next, calculate the number of ways to select one apple and one banana:
Number of ways to choose 1 apple out of 7 apples = 7
Number of ways to choose 1 banana out of 5 bananas = 5
Total number of ways to choose 1 apple and 1 banana = 7 * 5 = 35
Finally, calculate the probability of selecting an apple and a banana:
Probability = Number of ways to choose 1 apple and 1 banana / Total number of ways to choose 2 fruits
Probability = 35 / 190
Probability = 7/38
Therefore, the correct answer is Start Fraction 7 over 38 End Fraction.