Question

If the probability that a bird will lay an egg is 75%, the probability that the egg will hatch is 50%, and the probability that the chick will be eaten by a snake before it fledges is 20%, what is the probability that a parent will have progeny that survive to adulthood?
(A) 30%
(B) 14.5%
(C) 7.5%
(D) 2%

Answer 1

Answer: (A) 30%

Step-by-step explanation:

Given : The probability that a bird will lay an egg =0.75

The probability that the egg will hatch  =0.50

Now, the probability that the egg will lay an egg and hatch = $0.75\times0.50$

Also,The probability that the chick will be eaten by a snake before it fledges =0.20

Then, the probability that the chick will not  be eaten by a snake before it fledges : 1-0.20=0.80

Now, the probability that a parent will have progeny that survive to adulthood will be :-

$0.75\times0.50\times0.80=0.30=30\%$

Hence, the probability that a parent will have progeny that survive to adulthood =  30%