2. Suppose you're on the Las Vegas strip, and an enthusiastic stranger approaches you asking if you'd like to make a bet on the outcome of rolling a pair of dice, claiming he’ll triple your money if you call your roll. You excitedly take him up on his offer: "Sure! I'm feeling lucky tonight. I've spent my fair share of time betting at the Craps tables in Caesars Palace ... I'll bet $100 that I roll the pair of dice and have the values sum to 3."

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Chapter1: Starting With Matlab
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Suppose you're on the Las Vegas strip, and an enthusiastic stranger approaches you asking
if you'd like to make a bet on the outcome of rolling a pair of dice, claiming he'll triple your money if
you call your roll. You excitedly take him up on his offer: "Sure! I'm feeling lucky tonight. I've spent
my fair share of time betting at the Craps tables in Caesars Palace ... I'll bet $100 that I roll the pair
of dice and have the values sum to 3."
Suppose the outcomes for a roll of any given die follow the probability distribution given in the ta-
ble:
Outcome |
Probability
1/6
1/6
1/6
1/6
1/6
1/6
1
2
3
4
a) (i) Is the given distribution a valid probability distribution? Explain.
(ii) If a die was weighted so that P(1) = 1/12 and P(6) = 1/4, keeping all other probabilities the
same, would it still be a valid probability distribution? Explain.
2.
Transcribed Image Text:Suppose you're on the Las Vegas strip, and an enthusiastic stranger approaches you asking if you'd like to make a bet on the outcome of rolling a pair of dice, claiming he'll triple your money if you call your roll. You excitedly take him up on his offer: "Sure! I'm feeling lucky tonight. I've spent my fair share of time betting at the Craps tables in Caesars Palace ... I'll bet $100 that I roll the pair of dice and have the values sum to 3." Suppose the outcomes for a roll of any given die follow the probability distribution given in the ta- ble: Outcome | Probability 1/6 1/6 1/6 1/6 1/6 1/6 1 2 3 4 a) (i) Is the given distribution a valid probability distribution? Explain. (ii) If a die was weighted so that P(1) = 1/12 and P(6) = 1/4, keeping all other probabilities the same, would it still be a valid probability distribution? Explain. 2.
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