. that \"he 8 kecht i\" o 95 \'1.,w na.ey Justity your answer the neprestum\" wm
ID: 3305872 • Letter: #
Question
. that "he 8 kecht i" o 95 '1.,w na.ey Justity your answer the neprestum" wmm s v..v- three coins are tonsed What is the probabiity that wo beade turn w 6. Two fair dice are rolled, what in the probnbility thnt that the umber showingon one will be twice the mumber appearing on the other Juntify yo E 7. In how many ways can the letters of "newjerseyi"nith" be arranged sr , that ' preceded by an n and followed by an e? Justify your answer S. Five fair dice are rolled. What is the probability that the facen showing, constitute a "full house": three of the faces show one number and the other two faces show different number. Justify your answer 9. A computer has generated seven random numbers over the interval 0 to 1. Is it, more likely that (a) exactly three will be in the interval |, or (b) fewer than three will be greater than ? Explain 10. Holly pulls two socks out of a drawer at random. The drawer contains 3 red, 5 black and 6 blue socks, all randomly arranged. What is the probability that the two taken are a match? Extra Credit: How many ways can the letters in the word slumgullion be arranged so that the three L's precede all the other consonants.Explanation / Answer
Ans:
10)P(two taken are match)=P(two red)+P(2 black)+P(2 blue)=[3C2+5C2+6C2]/14C2
=[3+10+15]/91
=28/91
=0.3077
9)Probability of coming up any number between [1/2, 1] is 0.5
So,half of numbers out of 7 are likely to come in[1/2,1]
Probability of coming up greater than 3/4 is 0.25
it is likely more that exactly 3 numbers will be between [1/2.1]
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