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If the probability of turning left is 0.5 and the probability of
turning right is 0.5 for each mouse, what is the probability that ONLY ONE
of the two mice will turn left? *

Respuesta :

MathPhys

Answer:

0.5

Step-by-step explanation:

The probability that the first mouse turns left and the second mouse turns right is 0.5 × 0.5 = 0.25.

The probability that the first mouse turns right and the second mouse turns left is 0.5 × 0.5 = 0.25.

So the probability that only one mouse turns left is:

P =  0.25 + 0.25

P = 0.5

Another way of looking at it: the probability that only one mouse turns left is 1 minus the probability that both turn left or both turn right.

P = 1 − (P(both left) + P(both right))

P = 1 − (0.5 × 0.5 + 0.5 × 0.5)

P = 0.5

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