1. The probabilities that each of three marksmen, Tom, Dick and Harry, will hit a target at a single 1 1 attempt are 3 4 1 respectively. If they all fire simultaneously at the target, find the probabilities that: i) all three men hit it;

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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1. The probabilities that each of three marksmen, Tom, Dick and Harry, will hit a target at a single
1
1
1
attempt are
respectively. If they all fire simultaneously at the target, find the probabilities
that:
i) all three men hit it ;
ii) all three men miss it ;
iii) at least one man hits it.
Transcribed Image Text:1. The probabilities that each of three marksmen, Tom, Dick and Harry, will hit a target at a single 1 1 1 attempt are respectively. If they all fire simultaneously at the target, find the probabilities that: i) all three men hit it ; ii) all three men miss it ; iii) at least one man hits it.
3. Amy decides to make a game for the school fair. As shown below,
she uses two large discs. Each disc is divided up into 5 equal
parts. They are both spun about their centers on a flat, horizontal
table. Both discs are equally likely to stop spinning at the arrow.
One disc has two letters As, two letter Bs and one letter C. The
other disc has three letter As, one letter B and one letter D.
Calculate the probability that the two discs will stop at the same
B
A
A
B
Ictter.
Transcribed Image Text:3. Amy decides to make a game for the school fair. As shown below, she uses two large discs. Each disc is divided up into 5 equal parts. They are both spun about their centers on a flat, horizontal table. Both discs are equally likely to stop spinning at the arrow. One disc has two letters As, two letter Bs and one letter C. The other disc has three letter As, one letter B and one letter D. Calculate the probability that the two discs will stop at the same B A A B Ictter.
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