Math, asked by davidisaiah0831, 10 months ago

Four percent of the students at Washington Highschool are in Math Club 7% are in Computer Club, and 3% are in both. If a student is selected at random, what is the probability that the student is in math club or computer club

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Answered by Anonymous
8

Answer:

percent of the students at Washington Highschool are in Math Club 7% are in Computer Club, and 3% are in both. If a student is selected at random,

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Answered by sonuvuce
0

Four percent of the students at Washington High School are in Math Club 7% are in Computer Club, and 3% are in both. If a student is selected at random, the probability that the student is in Math Club or Computer Club is 2/25

Step-by-step explanation:

4% students are in Math Club

Probability of a student being in the Math Club

P(M)=\frac{4}{100}

Similarly,

Probability of a student being in the Computer Club

P(C)=\frac{7}{100}

And,

Probability of a student being in the Math Club and Computer Club both

P(M\cap C)=\frac{3}{100}

Probability of a student selected randomly, being in a Math Club OR Computer Club =P(M\cup C)

We know that

P(M\cup C)=P(M)+P(C)-P(M\cup C)

\implies P(M\cup C)=\frac{4}{100}+\frac{7}{100}-\frac{3}{100}

\implies P(M\cup C)=\frac{4+7-3}{100}

\implies P(M\cup C)=\frac{8}{100}

\implies P(M\cup C)=\frac{2}{25}

Therefore, the probability that the student is in Math Club or Computer Club is 2/25

Hope this answer is helpful.

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