Probability and statistics Please show all work and answer all questions below.

Question

Probability and statistics

Please show all work and answer all questions below. I will rate!

1. A lottery has you choose six numbers between 1 and 50. How many possible lottery numbers are there?

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2. The Student Engineering Organization have 40 members.

a. How many outcomes are there if 4 officers are chosen randomly?

b. How many outcomes are there if 10 members are chosen to serve on a subcommittee?

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3. You are taking a multiple choice test that has 5 possible answers. Determine the theoretical probability of randomly selecting the following

A. P(correct answer)

B. You can easily eliminate 2 of the possible answers as not correct, now what is P(correct)

Explanation / Answer

1. The possible lottery numbers are 50C6 = 50*49*48*47*46*45*44

2.  There are 4 officers chosen randomly out of 40 memebers is 40C4 = 91390

3. There are 10 members chosen randomly out of 40 memebers is 40C10 = 847660528

4.

a) P(Correct Answer) = 1/5 since 1 option is correct out of 5 options

b) P(Correct Answer / eliminate 2 of the possible answer as not correct) = 1/3 since 1 option is correct out of the remaining 3 options

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