11. Bart has a Cardin calculator and a Klein calculator. The Cardin gives the correct answer 75% of the time, while the Klein gives the right answer 50% of the time. Bart needs to calculate 2 x 3, and he chooses a calculator randomly. Given that the answer he obtains is 5, what is the probability that he used Cardin? (A) 1/8 V2 (В) 1/4 (C) 1/2 (D) 1/3 (E) 3/4 (F) none of the above

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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**Problem 11: Probability with Calculators**

Bart possesses two calculators: a *Cardin* and a *Klein*. The performance of these calculators is as follows:

- The *Cardin* calculator delivers correct answers 75% of the time.
- The *Klein* calculator gives correct answers 50% of the time.

For a specific task, Bart needs to compute the expression \(2 \times 3\). He selects one of the calculators at random. Upon calculation, the answer he obtains is 5. Given this incorrect result, what is the probability that Bart used the *Cardin* calculator?

**Answer Options:**

(A) \( \frac{1}{8} \)

(B) \( \frac{1}{4} \)

(C) \( \frac{1}{2} \)

(D) \( \frac{1}{3} \)

(E) \( \frac{3}{4} \)

(F) none of the above
Transcribed Image Text:**Problem 11: Probability with Calculators** Bart possesses two calculators: a *Cardin* and a *Klein*. The performance of these calculators is as follows: - The *Cardin* calculator delivers correct answers 75% of the time. - The *Klein* calculator gives correct answers 50% of the time. For a specific task, Bart needs to compute the expression \(2 \times 3\). He selects one of the calculators at random. Upon calculation, the answer he obtains is 5. Given this incorrect result, what is the probability that Bart used the *Cardin* calculator? **Answer Options:** (A) \( \frac{1}{8} \) (B) \( \frac{1}{4} \) (C) \( \frac{1}{2} \) (D) \( \frac{1}{3} \) (E) \( \frac{3}{4} \) (F) none of the above
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