Question

Probability that Garrick is certified = 25

Probability that Molly has not had an accident = 71.87
Probability that Ryan is both certified and has never had an accident =​

Answer 1

The probability that Ryan is both certified and has never had an accident is 7.03\%), calculated by multiplying the probabilities of certification (25%) and no accidents (28.13%). This reflects the joint likelihood of these events.

Step-by-step explanation:

The given probabilities provide information about the individual and joint likelihood of events related to three individuals: Garrick, Molly, and Ryan. The probability that Garrick is certified is straightforward at 25%. Similarly, the probability that Molly has not had an accident is given as 71.87%.

To find the probability that Ryan is both certified and has never had an accident, we multiply the probabilities of these two events occurring independently. This is derived from the fundamental principle of probability for independent events. The probability of Ryan being certified is 25%, and the probability of him not having an accident is 71.87%. By multiplying these probabilities (0.25 * 0.7187), we obtain the joint probability of Ryan being certified and accident-free, which is approximately 7.03%.

In summary, these probability values offer insights into the likelihood of individual and combined events among Garrick, Molly, and Ryan. Ryan's probability of being certified and accident-free is calculated by multiplying the independent probabilities of certification and no accidents. This joint probability reflects the chance of both events occurring simultaneously.

Answer 2

Probability that Ryan is both certified and has never had an accident is undefined

Step-by-step explanation:

Given;

Probability that Garrick is certified = P(G) = {25}

Probability that Molly has not had an accident = P(M) = {71.87}

Probability that Ryan is both certified and has never had an accident = P(R) = {?}

Probability of Ryan being certified was not defined,

Probability that Ryan has not had an accident was not also defined

Therefore, Probability that Ryan is both certified and has never had an accident = P(R) = is undefined, since Ryan is not within the given set.