Question

A farmer discovers that 60% of the eggs that his hens lay hatch. What is the probability that of the next 5 eggs his hens lay, at least four of them will hatch?

Answer 1

Answer on Question #37212 – Math – Probability

Let's find the probability. If 4 eggs hatch, then conditions are satisfied at any outcome for the fifth egg. So

$$P = 0.6 \cdot 0.6 \cdot 0.6 \cdot 0.6 \cdot 1 = 0.1296$$

Answer: $P = 0.1296$.