SOLUTION: 1. if you draw a card from a deck of 52 cards and you're paid $5.00 if it's a red card. What is the expected value? 2in an experiment of rolloing a die, what is the probability of

Question 285378: 1. if you draw a card from a deck of 52 cards and you're paid $5.00 if it's a red card. What is the expected value?
2in an experiment of rolloing a die, what is the probability of having a number divisible by 3?
3 if 3 dice are rolled, what's the probability of getting a "1" on all dice?
4 if 2 dice are rolled and 2 coins are tossed at the same time, what is the probability of dice getting both "1" and coins getting both heads?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
1. if you draw a card from a deck of 52 cards and you're paid $5.00 if it's a red card. What is the expected value?
E(x) = (1/2)5 = $2.50
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2. in an experiment of rolling a die, what is the probability of having a number divisible by 3?
The number would have to be a 3 or a 6.
P(3 or 6) = 2/6 = 1/3
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3. if 3 dice are rolled, what's the probability of getting a "1" on all dice?
P(3 1's) = (1/6)^3 = 1/216
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4 if 2 dice are rolled and 2 coins are tossed at the same time, what is the probability of dice getting both "1" and coins getting both heads?
(1/6)^2*(1/2)^2 = (1/36)(1/4) = 1/144
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Cheers,
Stan H.

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