7) To win first prize, you must match all 6 numbers. What is the probability of

Question

7) To win first prize, you must match all 6 numbers. What is the probability of winning first prize? 8) To win second prize, you must match any 5 of the 6 winning numbers. What is the probability of winning second prize? 9) To win third prize, you must match any four of the six winning numbers. What is the probability of winning third prize? 10) Each of three boxes, identical in appearance, has two drawers. Box A contains a gold coin in each drawer, Box B contains a silver coin in each drawer, and Box C contains a gold coin in drawer 1 and a silver coin in the other. A box is chosen, one of its drawers is opene and a silver coin is found. What is the probability that the other drawer contains a gold coin?

Explanation / Answer

here for part (7),(8),(9) ; please provide how many numbers are available to sole this problem

10)

probability that silver coin is found =P( box A is chosen and silver coin +box B is chosen and silver coin+box C is chosen and silver coin) =(1/3)*(0)+(1/3)*1+(1/3)*(1/2) =1/2

hence probability that box C is chosen (so that other drawer must have gold coin) given silver coin is found

=P( box C is chosen and silver coin) /P( silver coin) =(1/3)*(1/2)/(1/2) =1/3

please revert for any clarification required

Related Questions

Navigate

• Browse (All)
• Browse 7
• Subjects

---

---

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