The probability that a 3-year old garter snake will reach 4 years old is 0.94461. (a) what is the probability that two randomly selected will reach 4 years old? What is the probability that five randomly selected 3 year old garter snakes will reach 4 years old?
Assume random selections and outcomes.
P(1 snake)=0.94461=p
P(2 snakes)=p²
P(3 snakes)=p³
...
To find the probability that two randomly selected 3-year old garter snakes will reach 4 years old, we can multiply the individual probabilities together.
Given that the probability of a single garter snake reaching 4 years old is 0.94461, the probability of two randomly selected snakes both reaching 4 years old is obtained by multiplying this probability by itself:
P(both snakes reach 4 years old) = 0.94461 * 0.94461 = 0.89193
So, the probability that two randomly selected 3-year old garter snakes will reach 4 years old is approximately 0.89193.
To find the probability that five randomly selected 3-year old garter snakes will reach 4 years old, we can use the same approach of multiplying the individual probabilities together.
P(all five snakes reach 4 years old) = 0.94461 * 0.94461 * 0.94461 * 0.94461 * 0.94461 = 0.69314
So, the probability that five randomly selected 3-year old garter snakes will reach 4 years old is approximately 0.69314.