Probability, SM-Bank 054

The two spinners shown are used in a game.

Each arrow is spun once. The score is the total of the two numbers shown by the arrows.
A table is drawn up to show all scores that can be obtained in this game.

What is the value of \(X\) in the table? (1 mark)
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What is the probability of obtaining a score less than 4? (1 mark)
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On Spinner \(B\), a 2 is obtained. What is the probability of obtaining a score of 3? (1 mark)
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Show Answers Only

a. \(5\)

b. \(\dfrac{1}{2}\)

c. \(\dfrac{2}{3}\)

Show Worked Solution

a. \(X=2+3=5\)

b. \(P\text{(score < 4)}=\dfrac{6}{12}=\dfrac{1}{2}\)

c. \(\text{Given Spinner } B =2\)

\(\text{Possible spins }\rightarrow\ (2 , 1), (2 , 1), (2 , 3)\)

\(P\text{(score = 3)}=\dfrac{2}{3}\)