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Question 3:
Six vitamin and three sugar tablets identical in appearance are in a box. One tablet is taken at
random and given to Person A. A tablet is then selected and given to Person B. What is the
probability that
(a.) Person A was given a vitamin tablet?
Probability of Person A was given a vitamin tablet
9
6
=
(b.)Person B was given a sugar tablet given that Person A was given a vitamin tablet?
Probability of Person B was given a sugar tablet
given that Person A was given a vitamin tablet
8
3
163
3
=
−+
=
(c.) neither was given vitamin tablets?
Probability of neither was given vitamin tablets
12
1
8
2
9
3
==
(d.) both were given vitamin tablets?
Probability of both were given vitamin tablets
12
5
8
5
9
6
==
(e.) exactly one person was given a vitamin tablet?
Probability of exactly one person was given a vitamin tablet
2
1
=
( f.) Person A was given a sugar tablet and Person B was given a vitamin tablet?
Probability of Person A was given a sugar tablet and Person B was given a vitamin tablet
4
1
8
6
9
3
==
(g.) Person A was given a vitamin tablet and Person B was given a sugar tablet?
Probability of Person A was given a vitamin tablet and Person B was given a sugar tablet
4
1
9
3
8
6
==
Question 2
1. If P(A) = 0.50, P(B) = 0.40, and P(A ∪ B) = 0.88, then P(B | A)
( )
( )
04.0
5.0
02.0
5.0
88.040.05.0
==
−+
=
=
AP
BAP
A
B
P

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Question 3: Six vitamin and three sugar tablets identical in appearance are in a box. One tablet is taken at random and given to Person A. A tablet is then selected and given to Person B. What is the probability that (a.) Person A was given a vitamin tablet? 6 9 (b.)Person B was given a sugar tablet given that Person A was given a vitamin tablet? Probability of Person B was given a sugar tablet 3 3 given that Person A was given a vitamin tablet   3  6 1 8 (c.) neither was given vitamin tablets? 3 2 1 Probability of neither was given vitamin tablets    9 8 12 (d.) both wer ...
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