SOLUTION: Q.1 In the Olympic sport of biathlon, athletes must cross country ski and then shoot a rifle at a small circular target. Two athletes shoot one shot each at the target independentl

Question 1058383: Q.1 In the Olympic sport of biathlon, athletes must cross country ski and then shoot a rifle at a small circular target. Two athletes shoot one shot each at the target independently. The probability of each player hitting the centre of the target is 0.55 and 0.65 respectively. What is the probability that at most one of them will hit the centre.
Q.2 In a certain suburb it has been determined that 26% of adults wear contact lenses. Two adults are selected at random from this suburb. Given that at least 1 of these adults wears contact lenses, what is the probability that both of these adults wear contact lenses?
Q.3 A rep hockey team has two goalies. Goalie A has a save percentage of 0.92 and Goalie B has a save percentage of 0.89. If goalie A plays 75 percent of the games and goalie B plays 25 percent of the games then:
a) Determine the probability that a save has been made by either goalie A or goalie B.
b) If a save has been made, what is the probability that is was goalie A?
c) If a goal was let in, what is the probability it was goalie B?
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
At most 1 means not 2. The probability both will hit is .55*.65=0.3275
The answer is the complement or 0.6725.
------------------------------------------------------------------------------
L------------NL
=============L
NL-----------L
=============NL
The probabilities are L,NL(0.1924), LL(0.0676),NL,L (0.1924),NL,NL (0.5776)
Given that one wears lenses, the probability they both do is 0.0676/0.4524, or 0.1494.
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A 75 *.92=69
B 25* .89=22.25
For 10000 games, 9125 saves or 91.25% by either.
A 7500 and 6900 saves--- 600 goals
B 2500 and 2225 saves--- 275 goals
9125 saves and 75.6% A
If a goal (875) 275 were B or 1/3 (33.3%)

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