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A man has mislaid his wallet. He thinks there is a 0.4 chance that the wallet is somewhere in his bedroom, a 0.1 chance it is in the kitchen, a 0.2 chance it is in the bathroom, and a 0.15 chance it is in the living room. What is the probability that the wallet is a) somewhere else? b) in either the bedroom or the kitchen?

Respuesta :

MrRoyal

Answer:

a. Probability = 0.15

b. Probability = 0.3

Step-by-step explanation:

Given

[tex]P(Bedroom) = 0.4[/tex]

[tex]P(Kitchen) = 0.1[/tex]

[tex]P(Bathroom) = 0.2[/tex]

[tex]P(Living\ room) = 0.15[/tex]

Solving (a): Probability of being somewhere else

This is calculated by subtracting the sum of given probabilities from 1.

[tex]Probability = 1 - (0.4 + 0.1 + 0.2 + 0.15)[/tex]

[tex]Probability = 1 - 0.85[/tex]

[tex]Probability = 0.15[/tex]

Solving (b): Probability of being in bedroom or kitchen

This is calculated as:

[tex]Probability = P(Bedroom) + P(Kitchen)[/tex]

[tex]Probability = 0.2 + 0.1[/tex]

[tex]Probability = 0.3[/tex]

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