4. a student is chosen at random from the student body at a given high school. the probability that the

student selects math as the favorite subject is 1/4. the probability that the student chosen is a junior is

116/459. if the probability that the student selected is a junior or that the student chooses math as the

favorite subject is 47/108, what is the exact probability that the student selected is a junior whose

favorite subject is math?

The exact probability that the student selected is a junior whose  favorite subject is Math is .

Step-by-step explanation:

Let the following events represents by the alphabets A and B.

A: Student selects Math as the favorite subject

B: Student chosen is a junior

The probability that the  student selects Math as the favorite subject is 1/4.

The probability that the student chosen is a junior is

The probability that the student selected is a junior or that the student chooses Math as the  favorite subject is 47/108.

The exact probability that the student selected is a junior whose  favorite subject is Math is

Therefore the exact probability that the student selected is a junior whose  favorite subject is Math is .

step-by-step explanation:

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