Question

In an orchard, every 4th peach picked is sour and every 5th peach picked has black spots. What is the probability of a peach being sour and with black spots if 160 peaches are picked?

Answer 1

`\sf C. \quad (1)/(20)`

Explanation:

The lowest common multiple (LCM) of 4 and 5 is 20.

Therefore, every 20th peach will be sour with black spots.

If 160 peaches are picked:

⇒ 160 ÷ 20 = 8

Therefore, out of a total of 160 peaches, 8 peaches will be sour with black spots.

To find the probability, simply divide the number of outcomes by the total number of possible outcomes:

`\implies \sf Probability=(8)/(160)=(1)/(20)`