3. In a class, there are 15 boys and 10 girls. Three students are selected at ra

Question

3. In a class, there are 15 boys and 10 girls. Three students are selected at random. Let S be the sample space and E be the event of selecting 1 girl and 2 boys. Answer the following questions: a) Define n(S) = number of ways of selecting 3 students out of 25. b) Define n(E) number of ways of selecting 1 girl and 2 boys out c) What is the probablity that 1 girl and 2 boys are selected? Show Find n(S) of the 25 students. Find n(E) your work and then choose the correct answer. A. 21/46 C. 1/50 D. 3/25 4. Mutually exclusive events are those where the occurrence of one indicates the non-occurrence of the other OR When two events cannot occur at the same time, they are considered mutually exclusive. What is the probability of getting a 2 or a 5 when a die is rolled? Show your work 5. What is the probability of the occurrence of a number that is odd or less than 5 when a fair die is rolled? Let the event of the occurrence of a number that is odd be 'A' and the event of the occurrence of a number that is less than 5 be 'B.

Explanation / Answer

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4) Probability of any one number on a die = 1/6

P(2) = 1/6

P(5) = 1/6

So,

P(2 or 5) = 1/6 + 1/6 = 2/6 = 0.333

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