Suppose that three runers from team A and three runners fromteam B participate i

Question

Suppose that three runers from team A and three runners fromteam B participate in a race. If all six runners have equal abilityand three are are no ties, what is the probability that threerunners from team A will finish first, second, and third, and thethree runners from team B will finish fourth, fifth, andsixth? Suppose that three runers from team A and three runners fromteam B participate in a race. If all six runners have equal abilityand three are are no ties, what is the probability that threerunners from team A will finish first, second, and third, and thethree runners from team B will finish fourth, fifth, andsixth?

Explanation / Answer

Runners: A1, A2,. A3, andB1, B2, B3. P of someone from A coming in first: 3 / 6 or .5 P of someone from A coming in second: 2 / 5 or .4 P of someone from A coming in third: 1 / 4 or .25. Multiply these probabilities to get the probability of all theseevent happening: 1 / 20 or .05 Hope this helps!

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