Students in a political science course were asked to describe their politics as "Liberal", "Moderate", or "Conservative." Here are the results: Politics Liberal Moderate Conservative Total Female 40 34 14 88 Male 48 50 26 124 Total 88 84 40 212 Given that the student is male what is the probability that he considers himself to be a "Liberal"? Round your answer to three decimal places if necessary. a. 0.226 c. 0.387 b. 0.415 d. 0.455 Please select the best answer from the choices provided A B C D

Answer:

a

Step-by-step explanation:

The probability that he considers himself to be a "Liberal is 0.387.

Option C is the correct answer.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

Example:

The probability of getting a head in tossing a coin.

P(H) = 1/2

We have,

The probability that a male student considers himself to be a "Liberal" can be found by dividing the number of "Liberal" males (48) by the total number of males (124):

P(Liberal | Male) = 48/124

P(Liberal | Male) = 0.387 (rounded to three decimal places)

Therefore,

The probability that he considers himself to be a "Liberal is 0.387.

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