-The probability that Sue will go to Mexico in the winter and to France in the s

Question

-The probability that Sue will go to Mexico in the winter and to France in the summer is 0.40. The probability that she will go to Mexico in the winter is 0.60. Find the probability that she will go to France this summer given that she just returned from her winter vacation in Mexico.

-The volleyball team is sponsoring a mixed-doubles sand court volleyball tournament and sixteen pairs have signed up for the chance to win one of the seven trophies and cash prizes. In how many different ways can the teams be chosen and arranged for the top seven slots?

Explanation / Answer

Answer - 1: Given,

P(Mexico and France) = 0.40

P(Maxico) = 0.60

Hence,

P(France |Mexico) = P(Mexico and France) /P(Mexico) = 0.40 / 0.60 = 2/3

Answer - 2: In this, we need to choose and arrange 7 out of available 16 teams. Hence,

Number of ways = 16P7 = 16! / (16 - 7)! = 16! / 9! = 57657600

Related Questions

Navigate

• Browse (All)
• Browse #
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.