Question

at a local high school the probability of student who speaks english and mandarin is 15%. the probability that a student speaks mandarin is 45% what is the probability that astudent speaks english given that a student speaks mandarin?

Answer 1

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Answer 10 questions fry subject in 48 hours to collect 100 points

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Answer 25 questions from any subject in 48 hours to collect 400 points

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Answer 2

The probability that a student speaks english given that student speaks mandarin is 0.333.

Given that,

15% of students at a nearby high school are bilingual in English and Mandarin. 45 percent of students are likely to speak Mandarin.

We have to find given that a student speaks Mandarin, what is the probability that they also speak English.

We know that,

Probability of speaking english and mandarin P(A∩B) = 15% =0.15

And probability of speaking mandarin P(B) = 45% = 0.45

The probability that a student speaks english given that student speaks mandarin is P($\frac{A}{B}$)

P(A∩B) = P($\frac{A}{B}$) × P(B)

0.15 = P($\frac{A}{B}$) × 0.45

P($\frac{A}{B}$) = $\frac{0.15}{0.45}$ = $\frac{1}{3}$ = 0.333

Therefore, The probability that a student speaks english given that student speaks mandarin is 0.333.

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