- A chocolate manufacturer places special tokens in \(2 \%\) of the bars it produces so that each bar contains at most one token. Anyone who collects 3 of these tokens can claim a prize.
Andreia buys a box of 40 bars of the chocolate.
- Find the probability that Andreia can claim a prize.
Barney intends to buy bars of the chocolate, one at a time, until he can claim a prize.
- Find the probability that Barney can claim a prize when he buys his 40th bar of chocolate.
- Find the expected number of bars that Barney must buy to claim a prize.