3. In a lottery, there are ten tickets left. Exactly two of these tickets are a winning tickets. A and B decide to buy a ticket; A draws first, and then B. a) Determine the conditional probability that B picks a winning ticket, given that A did not pick one. b) Determine the conditional probability that B picks a winning ticket, given that A also picked one. c) Determine the probability of B picking a winning ticket. (That is, at the time A has not picked yet, so you don't know whether A will pick a winning ticket, what is the probability that, B, picking after A, will pick a winning ticket.)

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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3. In a lottery, there are ten tickets left. Exactly two of these tickets are a winning tickets. A and B
decide to buy a ticket; A draws first, and then B.
a) Determine the conditional probability that B picks a winning ticket, given that A did not pick one.
b) Determine the conditional probability that B picks a winning ticket, given that A also picked one.
c) Determine the probability of B picking a winning ticket. (That is, at the time A has not picked
yet, so you don't know whether A will pick a winning ticket, what is the probability that, B, picking after
A, will pick a winning ticket.)
Transcribed Image Text:3. In a lottery, there are ten tickets left. Exactly two of these tickets are a winning tickets. A and B decide to buy a ticket; A draws first, and then B. a) Determine the conditional probability that B picks a winning ticket, given that A did not pick one. b) Determine the conditional probability that B picks a winning ticket, given that A also picked one. c) Determine the probability of B picking a winning ticket. (That is, at the time A has not picked yet, so you don't know whether A will pick a winning ticket, what is the probability that, B, picking after A, will pick a winning ticket.)
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