Probability, SM-Bank 018 MC

Kip spins the arrow on two identical spinners.

The arrow on each spinner is equally likely to land on 1, 2 or 3.

If Kip adds up the two results, which total is he least likely to get?

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\(D\)

Show Worked Solution

\(\text{Possible combinations:}\)

\((1,1), (1,2), (1,3), (2,1), (2,2), (2,3), (3,1), (3,2), (3,3)\)

\(\text{A total of 6 only occurs once, (3 , 3) }\)

\(\text{so is the less likely to occur than 3, 4 or 5.}\)

\(\Rightarrow D\)