Answer: 1 out of 970,200
Solution: The probability of drawing the 0 first is 1/100. If the marble isn’t replaced, then the probability of drawing the 1 next is 1/99. Then, the probability of drawing the 2 next is 1/98. So, the probability of drawing exactly those numbers in that order is 1/100 × 99 × 98 = 1/970,200.
Answer: Tara should choose the bucket with 30 $1 bills and 2 $100 bills.
Solution: Since 2 out of 30 + 2 = 32 bills in the first bucket are $100 bills, that means that 2/32 = 1/16 of the bills are $100. In the other bucket, 4 out of 80 + 4 = 84 bills are $100, so 4/84 = 1/21 bills are $100. Since the first bucket has the greater fractional part comprising $100 bills, that’s the smarter bucket to choose.
