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Daniel [21]
2 years ago
14

A ball is chosen at random from a bag containing 150 balls that are either red or blue and either dull or shiny. There are 36 re

d shiny balls and 54 blue balls. What is the probability of the chosen ball being shiny conditional on it being red
Mathematics
1 answer:
tino4ka555 [31]2 years ago
8 0

Answer:

The probability of the chosen ball being shiny conditional on it being red is; 0.375

Step-by-step explanation:

Let A be the event that a red ball has been chosen

Let B be the event that a shiny ball has been chosen

Let S be the total outcomes = 150 balls

Thus;

P(A ∩ B ) = 36/150

A ∩ B' = 150 - 36 - 54

A ∩ B' = 60

Thus; P(A ∩ B') = 60/150

P(A') = 54/150

P(A) = (150 - 54)/150 = 96/150

Thus, probability of the chosen ball being shiny conditional on it being red is;

P(B | A) = P(B ∩ A)/P(A)

Thus; P(B | A) = (36/150)/(96/150)

P(B | A) = 0.375

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