Probability Problem: Q1 & Q2 - Answers & Solutions

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SUMMARY

The discussion addresses two probability problems involving ice-cream flavors and choir member selection. For Q1, the probability that the first four ice-creams consist of exactly two different flavors is calculated as 28/125, while the least number of ice-creams needed to ensure a greater than 0.95 probability of collecting all five flavors is determined to be 14. In Q2, the probability of selecting a group containing exactly one tenor or one bass or both is found to be 61/95. The answers provided are confirmed as correct based on the calculations discussed.

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Cyanide
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Q1) An ice-cream stall gives away free ice-cream on a particular day.There are five different flavours and each flavour is equal likely to be given away. A child intends to get all five different flavours of ice-cream.
Find
i) probability that the first 4 ice-creams gotten by the child had Exactly 2 different flavours

ii) At a certain stage, the child collected 4 of the five flavours. Find the least number of ice-cream needed so that the probability of the child completing the set is greater than 0.95



Q2)A choir has 7sopranos, 6 Altos, 3 Tenors and 4 basses. 3 members are selected at random to form a group to perform.
i) Find the probability that the chosen group contains exactly 1 tenor or exactly 1 bass or both.


AND THE ANSWERS (might be wrong??) ARE Q1i) 28/125 Q1ii) 14 Q2i) 61/95
 
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Well isn't it stated in the problem how many balls each ice-cream can have?
 

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