Question

In a population of three asexual lizards, each lizard has a 40% probability of not producing any offspring. What is the probability that all three lizards will produce no offspring, thus ensuring the population's extinction?

A. 0.01
B. 0.064
C. 0.216
D. 0.834

Answer 1

To find the probability that all three asexual lizards will not reproduce, we calculate 0.4 * 0.4 * 0.4, resulting in 0.064 or 6.4%. This is option B.

Step-by-step explanation:

The question asks us to calculate the probability that all three asexual lizards produce no offspring. Given that each lizard has a 40% probability of not producing offspring, we use the multiplication rule for independent events to find this combined probability. We multiply the probability of the first lizard not reproducing (0.4) by the probability of the second lizard not reproducing (0.4) and then by the probability of the third lizard not reproducing (0.4).

So, the calculation will be 0.4 * 0.4 * 0.4 = 0.064. Therefore, the probability that all three lizards will produce no offspring is 0.064 or 6.4%, which corresponds to option B.