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Consider two different dice in this exercise. One is a long die with 6 sides, the other a decahedron.
a. First consider the long die with 6 sides. Two of the sides are squares with 1 or 2 dots, the other 4 are rectangles with 3, 4, 5, or 6 dots. Determine whether you should assign equal probabilities to all 6 outcomes when this die is tossed. Explain why.
Answer
we should not assign equal probabilities to all the 6 six outcomes when die is tossed because in this case the 1 and 2 have less chances of occurrences than 3 , 4 ,5 and 6.
as the sides with 3, 4, 5, and 6 are more likly to occur than sides 1 and 2.
b. Next consider this die with 10 sides numbered 1 through 10. Determine whether you should assign equal probabilities to all 10 outcomes when this die is tossed. Explain why.
we can assign equal probabilites to the outcomes if all the sides are equal and have same chances of occurrences.
a. First consider the long die with 6 sides. Two of the sides are squares with 1 or 2 dots, the other 4 are rectangles with 3, 4, 5, or 6 dots. Determine whether you should assign equal probabilities to all 6 outcomes when this die is tossed. Explain why.
Answer
we should not assign equal probabilities to all the 6 six outcomes when die is tossed because in this case the 1 and 2 have less chances of occurrences than 3 , 4 ,5 and 6.
as the sides with 3, 4, 5, and 6 are more likly to occur than sides 1 and 2.
b. Next consider this die with 10 sides numbered 1 through 10. Determine whether you should assign equal probabilities to all 10 outcomes when this die is tossed. Explain why.
we can assign equal probabilites to the outcomes if all the sides are equal and have same chances of occurrences.