I graduated from hightschool 10 years ago cannot remeberanything please explane
ID: 2954309 • Letter: I
Question
I graduated from hightschool 10 years ago cannot remeberanything please explane everything clearly how to get theanswer... Sarah and Thomas each roll a die. Whoever gets the highernumber wins; if they both roll the same number, neither wins. a. What is the probability that Thomas wins? b.If Sarah rolls a 3,what is the probability that shewins? c.If Sarah rolls a 3, what is the probability that Thomaswins? d.If Sarah wins,what is the probability that Thomas rolled a3? e.If Sarah wins, what is the probability that Sarah rolled a3? I graduated from hightschool 10 years ago cannot remeberanything please explane everything clearly how to get theanswer... Sarah and Thomas each roll a die. Whoever gets the highernumber wins; if they both roll the same number, neither wins. a. What is the probability that Thomas wins? b.If Sarah rolls a 3,what is the probability that shewins? c.If Sarah rolls a 3, what is the probability that Thomaswins? d.If Sarah wins,what is the probability that Thomas rolled a3? e.If Sarah wins, what is the probability that Sarah rolled a3?Explanation / Answer
The sample space and results are given below: T|S result (N forNeither) Number of S:15 1|1=N Number of T:15 1|2=S Numberof N:6 1|3=S (seebelow for answers) 1|4=S 1|5=S 1|6=S 2|1=T 2|2=N 2|3=S 2|4=S 2|5=S 2|6=S 3|1=T 3|2=T 3|3=N 3|4=S 3|5=S 3|6=S 4|1=T 4|2=T 4|3=T 4|4=N 4|5=S 4|6=S 5|1=T 5|2=T 5|3=T 5|4=T 5|5=N 5|6=S 6|1=T 6|2=T 6|3=T 6|4=T 6|5=T 6|6=N a)P(Thomas wins)=15/36=41.7% b)P(Sarah wins given S3)= 2/6=33.3% c)P(Thomas wins given S3)=3/6=50% d)P(S3 given T wins) By Bayes rule: P(A given B)=(P(B givenA) x P(A)) P(B) .5*P(S3=1/6) .4166666.... which equals .2, or 20% . e)P(S3 given S wins)= P(S wins given S3 =1/3)*P(S3=1/6) P(Swins=41.66666....%) which equals 2/15, or about 13.3% . e)P(S3 given S wins)= P(S wins given S3 =1/3)*P(S3=1/6) P(Swins=41.66666....%) which equals 2/15, or about 13.3%Related Questions
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