Q1- A lottery wheel contains 15% winning tickets. Tom buys one ticket and later another one....
Q1- A lottery wheel contains 15% winning tickets. Tom buys one ticket and later another one. what are the chances of:-
a) getting two winning tickets.
b) getting a win ticket the second time only.
c) Not win at all .
d) Winning at least once.
Homework Answers
Q1) Let the probability of winning be p. Then p=0.15 (Given) and
probability of losing q= 1-p = 0.85. Here the buying of tickets is
independent. Hence we can use the result P(A B) = P(A) *
P(B)
(a) Probability of two winning tickets = P(First ticket wins)* P(Second ticket wins) = 0.15*0.15 =0.0225
(b) Probability of a win ticket the second only = P(first ticket loses) * P(second ticket wins) = 0.85*0.15 = 0.1275
(c) Probability of no win = P(first ticket loses) * P(second ticket loses) = 0.85*0.85 = 0.7225
(d) Probability of winning at least once = 1 - probability of no win = 1-0.7225 = 0.2775
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Q1- A lottery wheel contains 15% winning tickets. Tom buys one
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