a bag 10 white, 15 red and 8 green balls. A single draw of 3 balls is made. i)what is the probability that a white, a red and green balls are drawn
ii)What would be the probability of getting all the three white ball?
b) A and B are two events, not mutually exclusive, connected with a random experiment E, If P(A)=p, P(B)=2p and P(AuB)=P
a)
i)
"P=\\frac{10\\cdot15\\cdot8}{C^{33}_3}=\\frac{1200\\cdot 3!30!}{33!}=0.2199"
ii)
"P=\\frac{C^3_{10}}{C^{33}_3}=\\frac{10!\\cdot 3!30!}{33!3!7!}=0.0220"
b)
If the events A and B are not mutually exclusive, then:
"P (A \\cup B) = P(A) + P(B) \u2013 P (A \\cap B)"
so,
"P (A \\cap B)= P(A) + P(B) -P (A \\cup B) =3p-P"
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