Exercise 11
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Chapter 11
Exercise 11
Part I
1. 1/6
Part II
1. P(6 or 1) = P(6) + P(1) = 1/6 + 1/6 = 2/6 = 1/3
2. P(H1 and H2 and H3) = P(H1) P(H2) P(H3)
Exercise 11
5. P(A1 or A2) = P(A1) + P(A2) − P(A1 and A2)
6. First compute the probability of getting no heads:
P(no heads) = P(T1 and T2 and T3)
7. First compute the probability of getting no sixes:
Exercise 11
9a. P(R1 and R2) = P(R1) P(R2)
9b. P(G1 or G2) = P(G1) + P(G2) − P(G1 and G2)
9e. P(same color) = P(R1 and R2) + P(G1 and G2) + P(Y1 and Y2)
10a. P(R1 and R2) = P(R1) P(R2 given R1)
d. P(G1 or G2) = 1 − P(not-G)
Exercise 11
11. First compute the probability of drawing neither an ace nor a king:
12. First compute the probability of the event not happening; i.e., the probability of drawing
either not an ace or not a king:
13a. P(M or W) = P(M) + P(W) − P(M and W)
13b. P(M and W and S) = P(M) P(W) P(S)
14. P(WS) = P(I) P(C)
Exercise 11
15. P(two on same day) = 1 − P(separate days)
16. P(N given R) = P(N) P(R given N)
[P(N P(R given N)] + [P(O) P(R given O)]
17. P(S given P) = P(S) P(P given S)
[P(S) P(P given S)] + [P(not-S) P(P given not-S]
18. P(L given T) = P(L) P(T given L)
[P(L) P(T given L)] + [P(H) P(T given H)]
19. P(R given N) = P(R) P(N given R)
[P(R) P(N given R)] + [P(T) P(N given T)]
20. P(N given C) = P(N) P(C given N)
[P(N) P(C given N)] + [P(S) P(C given S)]