In a science high school, the probability that a student enrols in French and Journalism is 0.064. The probability that students enrols in French is 0.48. Find the probability that a student enrols in journalism given that the student is enroled in French.
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The probability that a student enrolls in journalism is 0.13333 or 13.33%
Step-by-step explanation:
The events are independent so P(A) × P(B) = P(A and B)
Let A be the event a student takes French and B be the event a student takes Journalism.
It is given that the probability that a student enrolls in French and Journalism is 0.064.
So P(A and B) = 0.064
The probability that students enrolls in French is 0.48.
So P(B) = 0.48
Now substituting the values into the formula :
P(A) × 0.48 = 0.064
P(A) = 0.064/0.48
= 0.13333
The probability that a student enrolls in journalism is 0.13333 or 13.33%
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