An urn contains 8 balls numbered 1-8 and a ball is randomly drawn from the urn. Let
A = “Ball number 2, 4 or 6 is chosen” and let B = “Ball number 3,4,5,6 or 7 is
chosen”. Calculate the following probabilities:
a)P(A)
b) P(A')
c) P(A∪B)
d) P(A|B)
a)P(A)=3/8 (as there are 3 favorable outcome out of 8)
b)P(A')=1-P(A)=1-3/8=5/8
c)P(A u B)=6/8=3/4 (as there are 6 favorable outcome out of 8)
d)P(A|B) =2/5 (as there are 2 outcomes 4,6 are among 5 outcome of B)
An urn contains 8 balls numbered 1-8 and a ball is randomly drawn from the urn....
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Exercise 2.19. We have an urn with balls labeled 1,..., 7. Two balls are drawn. Let X1 be the number of the first ball drawn and X2 the number of the second ball drawn. By counting favorable outcomes, compute the probabilities P(X 1 = 4), P(X2 = 5), and P(X1 = 4,X 2 = 5) in cases (a) and (b) below. (a) The balls are drawn with replacement. (b) The balls are drawn without replacement. (c) Does the answer to...