Question 483708: 1) Two cards are drawn from a standard deck and one of the two cards is noted and removed. Find the probabilities of the second card.
P(queen/five)=
P(red/red)=
2) Suppose that you toss a coin and roll a die. What is the probability of obtaining each of the following combinations? (Enter your answers as fractions.)
P(tails and an odd number)=
3) Dice is a popular game in gambling casinos. Two dice are tossed, and various amounts are paid according to the outcome. In a certain game, if a four or five occurs on the first roll, the player wins. What is the probability of winning on the first roll?
4) What is the probability of getting a license plate that has a repeated letter or digit if you live in a state that has one letter followed by two numerals followed by six letters? (Round to the nearest whole percent.)
5) What are the odds in favor of drawing face card from an ordinary deck of cards?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! 1) Two cards are drawn from a standard deck and one of the two cards is noted and removed. Find the probabilities of the second card.
P(queen|five) = 4/51
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P(red/red)= 25/51
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2) Suppose that you toss a coin and roll a die. What is the probability of obtaining each of the following combinations? (Enter your answers as fractions.)
P(tails and an odd number) = (1/2)(1/2) = 1/4
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3) Dice is a popular game in gambling casinos. Two dice are tossed, and various amounts are paid according to the outcome. In a certain game, if a four or five occurs on the first roll, the player wins. What is the probability of winning on the first roll?
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4 combos: 1/3 ; 2/2 ; 3/1
5 combos: 1/4 ; 2/3 ; 3/2 ; 4/1
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P(4 or 5) = 7/36
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4) What is the probability of getting a license plate that has a repeated letter or digit if you live in a state that has one letter followed by two numerals followed by six letters? (Round to the nearest whole percent.)
Ans: 1 - P(no repeated letter or digit)
= 1 - (26*10*9)/[26*10^2]
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= 1 - [9/10]
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= 1/10
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5) What are the odds in favor of drawing face card from an ordinary deck of cards?
ans: odds infavor of = P(for)/P(against)
= (12/52)/(40/52)
= 12:40
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Cheers,
Stan H.
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