Question

An experiment involves selecting a numbered chip, some black and some white, from a bag of chips. The probability of selecting a black chip with an odd number is 415 . The probability of selecting a black chip is 915
What is the probability of selecting a chip with an odd number given that the chip is black?

Enter your answer, as a simplified fraction, in the boxes.
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Answer 1

Answer:

The probability of selecting an odd number given that the chip is black is 0.454.

Step-by-step explanation:

First of all, the value of probability is always less than 1, so the following value of probabilities need to be corrected and are:

Probability of selecting a black chip with an odd number(A)=0.415

Probability of selecting a black chip(B)= 0.915

Probability of A given B is denoted by=P(A | B)

P(A|B) =P(A∩B)/P(B)

P(B)=0.915

P(A∩B)=0.415

P(A|B)=$\frac{0.415}{0.915}$

P(A|B)=0.454

The probability of selecting an odd number given that the chip is black is 0.454.