A game that draws 3 digits from 0-9 from three separate machines. What is the probability of winning a “straight” bet by matching the three digits in the exact order? What is the probability of winning a “box” bet by matching the three digits in any order? What is the probability of not matching any numbers on a ticket?
A game that draws 3 digits from 0-9 from three separate machines. What is the probability of winning a “straight” bet by matching the three digits in the exact order? What is the probability of winning a “box” bet by matching the three digits in any order? What is the probability of not matching any numbers on a ticket?
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 6ECP: In Pennsylvania’s Cash 5 game, a player chooses five different numbers from 1 to 43. If these five...
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Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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- A game that draws 3 digits from 0-9 from three separate machines.
- What is the
probability of winning a “straight” bet by matching the three digits in the exact order? - What is the probability of winning a “box” bet by matching the three digits in any order?
- What is the probability of not matching any numbers on a ticket?
- What is the
- A game that draws 4 digits from 0-9 from four separate machines.
- What is the probability of winning a “straight” bet by matching the four digits in the exact order?
- What is the probability of winning a “box” bet by matching the four digits in any order?
- What is the probability of not matching any numbers on a ticket?
- A game that draws 5 digits from 1-49 from the same machine. In other words, numbers are drawn and not replaced.
- What is the probability of winning the jackpot by matching all 5 numbers?
- What is the probability of winning a major prize by matching 4 of the 5 numbers? Make the calculation assuming the first 4 values are matched and the fifth one does not.
- What is the probability of not matching any numbers on a ticket?
- A super-mega-jackpot game that draws 6 numbers from 1 – 70 from a single machine and then a Super-Mega-Match ball numbered 1 – 30 from a separate machine.
- What is the probability of winning the Super-Mega jackpot by matching all six numbers and the Super-Mega-Match ball?
- What is the probability of winning the jackpot by matching all six numbers, but not matching the Super-Mega-Match ball?
- What is the probability of not matching any numbers on a ticket?
- State-run lottery games tend to pay out 50% of what the odds against winning are, rounded up. For instance, if the odds against winning in a game are 499: 1, the lottery game will pay $250 for a winning $1 ticket. This is how the lottery raises money for the state. Complete the table below with predicted payout values for winning $1 bets using this formula.
| 3-Digit Drawing | 4-Digit Drawing | 5-Number Drawing | Super-Mega Drawing |
| Straight win: | Straight win: | Match 5: | Super-Mega Jackpot |
| Boxed win: | Boxed win: | Match 4: | Jackpot: |
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