# Statistics questions

*label*Mathematics

*timer*Asked: Feb 3rd, 2019

*account_balance_wallet*$10

### Question Description

All of them are basic statistics questions, please make sure the answers are correct.

## Tutor Answer

Please let me know if you have any questions.

1. Four draws are going to be made at random with replacement from the box

Find the chance that 2 is drawn at least once.

2

2

1

3

3

The chance of drawing a ‘2’ on any given roll is 2/5. Therefore, the chance of NOT drawing a 2 is

3/5. 1-(3/5)^4 = 1 - .1296 = 0.8704 This means that you have a 87.04% chance of drawing a 2 at

least once.

2. Repeat the above exercise if the draws are made at random without replacement.

Without replacement the chance that you draw a ‘2’ is 100%. If you were to draw a 1, 3, 3, in

any order, then on the fourth draw, you would have to draw one of the remaining ‘2’.

Chapter 16

1.

a.

b.

c.

d.

a. A die will be rolled some number of times, and you win $1 if it shows an ace . more

than 20% of the time. Which is better: 60 rolls or 600 rolls? Explain.

b. As in (a), but you win the dollar if t...

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