if a+b=6 then find the value of 1/2 a+1/2 p
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Answer:
Using fractions and binomial coefficients in an expression is straightforward.
The binomial coefficient is defined by the next expression: \[ \binom{n}{k} = \frac{n!}{k!(n-k)!} \]
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Step-by-step explanation:
P(A)=0.5 and P(AB)=0.8
When A and B are independent events,
P(A∩B)=P(A)×P(B)
⇒P(A)+P(B)−P(A∪B)=0.5×q
⇒0.5+q−0.8=0.5q
⇒0.5q=0.3
⇒q=0.6
When A and B are mutually exclusive events
P(A∩B)=0
P(A)+P(B)=P(A∪B)
0.5+p=0.8
⇒p=0.3
Hence the ratio of q and p is
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