1)Find the probability of winning second prize—that is, picking five of the six
ID: 3059766 • Letter: 1
Question
1)Find the probability of winning second prize—that is, picking five of the six winning numbers—with a 6/55 lottery. (Enter your answer as a fraction.)
2)You order sixteen burritos to go from a Mexican restaurant, seven with hot peppers and nine without. However, the restaurant forgot to label them. If you pick three burritos at random, find the probability of the given event. (Round your answer to three decimal places.) At most two have hot peppers.
3)Consider the following scenario. the five-number bet (a) Find the expected value of each $1 bet in roulette. (Round your answer to three decimal places.) b)Over time, you should expect to lose about cents for every dollar you bet.
4)A card is dealt from a complete deck of fifty-two playing cards (no jokers). Use probability rules (when appropriate) to find the probability that the card is as stated. (Enter your answers as fractions.) (a) a queen and a spade (b) a queen or a spade (c) not a queen of spades
5)A card is dealt from a complete deck of fifty-two playing cards (no jokers). Use probability rules (when appropriate) to find the probability that the card is as stated. (Count an ace as high. Enter your answers as fractions.) (a) above a jack b)either above a jack or below a 4
6)One card is drawn from a well-shuffled deck of fifty-two cards (no jokers). (a) Find the probability of drawing a jack of diamonds. (Enter your answer as a fraction.) b) Find the odds of drawing a jack of diamonds.
Explanation / Answer
Solution:-
5)
(a) The probability that the card is above a jack is 0.05769.
Number of cards above jack = 3
Total number of cards = 52
The probability that the card is above a jack = 3/52 = 0.05769.
b) The probability that the card is either above a jack or below a 4 is 0.09615.
Number of cards above jack or below 4 = 3 + 2
Total number of cards = 52
The probability that the card is above a jack = 5/52 = 0.09615
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