Description
All of them are basic statistics questions, please make sure the answers are correct.
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Explanation & Answer
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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...