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Probability

Probability

IP 4

Spinner \(X\) has three equal sectors labelled \(1,2,3\). Spinner \(Y\) has four equal sectors labelled \(1,2,3,4\). Each is spun once.

  1. Complete this possibility diagram with the sum \(X+Y\).

    \(X\backslash Y\)\(1\)\(2\)\(3\)\(4\)
    \(1\)
    \(2\)
    \(3\)

  2. Find \(P(X+Y=5)\).

  3. Find \(P(X>Y)\).

Solution:

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Answer:(a) Sum grid below; (b) \(\frac14;\) (c) \(\frac14\).

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