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What is the probability that a randomly chosen student is majoring in biology given that he is a male? Round the answer to the nearest hundredth of a percent.

What Is The Probability That A Randomly Chosen Student Is Majoring In Biology Given That He Is A Male Round The Answer To The Nearest Hundredth Of A Percent class=

Sagot :

We have to calculate the conditional probabilty that a student is majoring in biology, given that is male.

We can write this as:

[tex]P(\text{Biology}|\text{Male)}=\frac{P(\text{Male \& Biology)}}{P(\text{Male)}}=\frac{40}{40+16+35}=\frac{40}{91}\approx0.4396[/tex]

Answer: the probability that a students majoring in biology, given that is male, is P=0.4396 or 43.96%.

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