Exercise #18: Anna, Jeff, Daisy and Russ are playing an addition game involving

Question

Exercise #18: Anna, Jeff, Daisy and Russ are playing an addition game involving four different numbered cards and two numbered cubes: Each person has picked one of the cards shown above. To score a point, a player must roll two number cubes and get the sum equal to the number of the card already selected. After three turns, each player selects a different card from the deck. Use these hints to determine which card was selected by which player and what the probability is for each player scoring a point on his/her first turn: Anna has the greatest probability of scoring a point. Even though Jeff has a card with a higher number, his chances of scoring a point are the same as Daisy?s chances. The probability that Russ will earn a point is greater than the probability that Jeff will. card selected by: Anna Jeff Daisy Russ probability scoring a point on first turn:

Explanation / Answer

Given that Anna has the greatest possibility of scoring a point.

means prob is high for Anna in rolling the die.

P(sum =3 in two cube) = 2/36

P(sum = 4) = 3/36

P(Sum =7) = 6/36

P(sum =11) = 2/36

Hence Anna selected card 7

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Jeff and Daisy have same chances imply that they have 3 and 11(equal prob)

Jeff got a higher number, so jeff has 11, and Daisy has 3

P(Russ winning) > P(Jeff) as 3/36>2/36

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Anna Jeff Daisy Russ Card selected 7 11 3 4 Prob winning 1/6 1/18 1/18 1/12

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