Consider the following three descriptions of outcomes after tossing 6 coins: {all six heads}, {3 heads and 3 tails (in any order)}, and {4 heads and 2 tails (in any order)}. Which of the following represents the ordering of these three descriptions in order of highest to lowest probability?
A) {3 heads and 3 tails}, {all six heads}, {4 heads and 2 tails}
B) {3 heads and 3 tails}, {4 heads and 2 tails}, {all six heads}
C) All three equally likely.
D) None of the above.

Question

Quizplus · Accepted Answer

The probability of getting 3 heads and 3 tails is the highest because there are more combinations to achieve this outcome. The probability of getting all six heads is the lowest because there is only one way to achieve this outcome. The probability of getting 4 heads and 2 tails falls in between these two.

Consider the Following Three Descriptions of Outcomes After Tossing 6