In a hypothetical study of garter snake anti-predator traits, researchers take a random sample of 100 snakes. From that sample they identify 25 snakes that have cryptic coloration and 50 snakes that tend to 'freeze' when spotted by a predator (we'll call them 'stayers'). The two traits are not mutually exclusive, and 40 snakes were observed to be both cryptic and stayers. Assuming the sample is representative of the population, what is the probability of sampling a single snake that is either cryptic OR a stayer?

MATLAB: An Introduction with Applications
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In a hypothetical study of garter snake anti-predator traits, researchers take a random sample of 100 snakes. From that sample they identify 25 snakes that have cryptic coloration and 50 snakes that tend to 'freeze' when spotted by a predator (we'll call them 'stayers'). The two traits are not mutually exclusive, and 40 snakes were observed to be both cryptic and stayers. Assuming the sample is representative of the population, what is the probability of sampling a single snake that is either cryptic OR a stayer?
Expert Solution
Step 1

Given that,

The event A is  identified cryptic coloration snake

The event B is  identified stayers

The random sample is 100

n=100

n(A)=25n(B)=50n(AB)=40

The probability is the ratio of the number of favorable outcomes of the event to the total number of outcomes of the event.

The addition rule of the probability of two events A and B is

P(AB)=P(A)+P(B)-P(AB)

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