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In a game, a spinner with five equal-sized spaces is labeled from A to E. If a player spins an A the player wins 15 points. If any other letter is spun the player loses 4 points. What is the expected gain or loss from playing 40 games

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Answer:

-8

Step-by-step explanation:

Spaces = A - E

Points for spinning A = + 15

Spinning any other letter = - 4

P(A) = 1/5 = 0.2 ;

P(A) = P(B) = P(C) = P(D) =P(E)

Expected probability :

P(E) = ΣX*p(x)

= (15 * 0.2) + (-4 * 0.2) + (-4 * 0.2) + (-4 * 0.2) + (-4 * 0.2) = - 0.2

Hence, playing 40 games equals :

40 * - 0.2 = - 8

Hence, 8 points is lost

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