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3 years ago

PLEASE HELP!

Mathematics

2 answers:

den301095 [7]3 years ago

6 0

Answer:

7 percent

Step-by-step explanation:

We have the following information from the question:

The probability that a student chooses art as an elective is 15 percent: $P(A)=15\%$

The probability that a student chooses art or drama is 20 percent: $P(A\cup D)=20\%$

The probability that a student chooses both art and drama is 2 percent:

$P(A\cap D)=2\%$

Recall that:

$P(A\cup D)=P(A)+P(D)-P(A\cap D)$

We plug in the various probabilities to get:

$20\%=15\%+P(D)-2\%$

$20\%-15\%+2\%=P(D)$

$7\%=P(D)$

$\therefore P(D)=7\%$

Hence the probability that a student chooses drama as an elective is 7 percent

True [87]3 years ago

3 0

Answer:

Step-by-step explanation:

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