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Chapter 5: Q 106. (page 333)

Suppose a loaded die has the following probability model: If this die is thrown and the top face shows an odd number, what is the probability that the die shows a 1?

(a) 0.1 (d) 0.6

(b) 0.3 (e) None of these

(c) 0.5

Short Answer

Expert verified

The correct option is (d)0.6

Step by step solution

01

Step 1. Given Information

The probability model for a loaded die is as follows:

02

Step 2. Concept used

Conditional probability : P(B|A)=P(AandB)/P(A)

03

Step 3. Calculation

Use the conditional probability definition:

P(1|odd)=P(1andodd)/P(odd)=P(1)/P(odd)=0.3/0.3+0.1+0.1=0.6

As a result, the proper option, according to the option, is (d)0.6

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