Please i need help FAST

A and B play a game in which they alternately toss a pair of dice. The one who is first to get a total of 7 wins the game. Find

kompoz [17]

Answer: the probability that the first toss wins is:

P = 1/6 or 0.1667

Step-by-step explanation:

A die has six sides (that is 6 outcome per die)

For a pair of dice:

The Total number of possible outcomes = 6 × 6 = 36

The possible outcomes of 7 is:

(1,6),(2,5),(3,4),(4,3),(5,2),(6,1)

= 6

The probability P of getting 7 is:

P = number of possible outcomes of 7/total number of possible outcomes

P = 6/36 = 1/6

The probability that the first toss wins

P = 1/6 or 0.1667

3 0

3 years ago

Eight friends decided to try white-water rafting on a nearby river. They rented four two-person rafts; one was yellow, one was g

stich3 [128]

Answer:

Leroy Sands & Walt Smith - green
Frank Cook & Phil Hawley - yellow
Paul O'Brien & Alan Wilson - blue
Henry Gladstone & Don Hughes - red

Step-by-step explanation:

First of all, it is convenient to choose the false statement.

We note that statements 7 (Alan is first) and 10 (Alan did not finish) are contradictory, so one of them must be false. Statement 5 has Henry & Hughes together, so is not consistent with statement 7 (Alan & Hughes). So, statement 7 is inconsistent with two other statements, thus must be the false one.

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The attached table shows how we parsed the statements. An "O" signifies a combination that must occur; and "X" signifies one that cannot occur. We have used "-" to fill the spaces that are inconsistent with the locations of "O". The red letters are deduced from the others.

The first complete set we found was Henry & Hughes (Don & Gladstone) who were in the (red) capsized raft and did not finish. The second complete set we found was Phil & Cook (Frank & Hawley) who were in the (yellow) raft that finished second. We know Paul & Wilson (Alan & Partner) finished last, so Phil & Cook could not have been Paul and Wilson. Finally, O'Brien and Leroy were not on the same boat, so Paul must be Paul O'Brien and Leroy must be Leroy Sands.