Answer:
0.8
Step-by-step explanation:
P(AP statistics) = 65%
P(AP Calculus) = 45%
P(AP statistics n AP Calculus) = 30%
Probability of AP statistics or AP Calculus but not both :
Probability of event A or B :
P(AUB) = p(A) + p(B) - p(AnB)
P(AP statistics U AP Calculus) = P(AP statistics) + P(AP Calculus) - P(AP statistics n AP Calculus)
= 0.65 + 0.45 - 0.30
= 0.8
= 80%
The probability of being a senior in the AP Statistics or AP Calculus but not both when selected randomly is 0.8 or 80%.
Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.
A large high school offers AP Statistics and AP Calculus. Among the seniors in this school,
Probabily of hapnning event A or event B, but not both can be given as,
[tex]P(A\cup B)=P(A)+P(B)-P(A\cap B)[/tex]
In the problem, we have,
[tex]P(A)=0.65\\P(B)=0.45\\P(A\cap B)=0.30[/tex]
Put the values in the above formula as,
[tex]P(A\cup B)=0.65+0.45-0.30\\P(A\cup B)=0.80\\P(A\cup B)=80\%[/tex]
Thus, the probability of being a senior in the AP Statistics or AP Calculus but not both when selected randomly is 0.8 or 80%.
Learn more about the probability here;
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