Probability Problem: Q1 & Q2 - Answers & Solutions

In summary, the first conversation is about a child trying to get all five different flavors of ice-cream from an ice-cream stall that gives away free ice-cream. The probability of the first four ice-creams having exactly two different flavors is 28/125 and the minimum number of ice-creams needed for the child to complete the set with a probability greater than 0.95 is 14.The second conversation is about a choir with 7 sopranos, 6 altos, 3 tenors, and 4 basses. The probability of a group of 3 members containing exactly 1 tenor or exactly 1 bass or both is 61/95.
  • #1
Cyanide
1
0
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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  • #2
Well isn't it stated in the problem how many balls each ice-cream can have?
 

1. What is the definition of probability?

The definition of probability is the likelihood or chance of an event occurring. It is often represented as a number between 0 and 1, where 0 represents impossibility and 1 represents certainty.

2. How is probability calculated?

Probability is calculated by dividing the number of desired outcomes by the total number of possible outcomes. This is known as the classical probability formula: P(A) = # of desired outcomes / # of total outcomes.

3. What is the difference between theoretical and experimental probability?

Theoretical probability is based on mathematical calculations and assumes that all outcomes are equally likely. Experimental probability is based on actual data from conducting experiments or observing events, and can vary from the theoretical probability.

4. How can probability be used in real life?

Probability is used in real life to make predictions, analyze risks, and make decisions. It is commonly used in fields such as statistics, finance, and gambling. For example, insurance companies use probability to calculate premiums and predict the likelihood of claims being made.

5. What is the difference between independent and dependent events in probability?

Independent events are events that have no influence on each other, meaning the outcome of one event does not affect the outcome of the other. Dependent events, on the other hand, are events that do have an influence on each other, meaning the outcome of one event can affect the outcome of the other.

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