My Not 8. .. 10 points BBUnderStat 11 4 1 018 e) If you rlla sigl die and count

Question

My Not 8. .. 10 points BBUnderStat 11 4 1 018 e) If you rlla sigl die and count the number of dots on top, what is the sample space of all posible outcomes? Are the outcomes eqully Ikely of dots on top, what is the sample space of all possible outcomes? Are the outcomes equally likely? O 0, 1, 2, 3, 4, 5, 6; not equally likely O 0, 1, 2, 3, 4, 5, 6; equally likely O 1, 2, 3, 4, 5, 6; not equally likely O 1, 2, 3, 4, 5, 6; equally likely (b) Assign probabilities to the outcomes of the sample space of part (a). (Enter your answers as fractions.) Outcome Probability Do the probabilities add up to 1? Should they add up to 1? Explain. O Yes, but they should not because these values do not cover the entire sample space. O Yes, because these values cover the entire sample space O No, because these values do not cover the entire sample space. O No, but they should because these values cover the entire sample space. (c) What is the probability of getting a number less than 4 on a single throw? (Enter your answer as a fraction.) (d) What is the probability of getting 5 or 6 on a single throw? (Enter your answer as a fraction.)

Explanation / Answer

8. a. Dice have number 1,2,3...6

So outcome will be 1,2,3,4,5,6 and all equally likely as they are independent.

b. Probability for each one to occur is 1/6 ie.

x 1 2 3 4 5 6

P(x) 1/6 1/6 1/6 1/6 1/6 1/6

Yes because it covers the entire sample space

c. P(x<4)=P(1)+P(x=2)+P(x=3)=1/6+1/6+1/6=3/6=1/2=0.5

d. P(x=5 or 6)=P(x=5)+P(x=6)=1/6+1/6=2/6=1/3=0.33

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