First slide

Theorems of probability

Question

The probability that an automobile will be stolen and found within one week is 0.0006. The probability that an automobile will be stolen is 0.0015. The probability that a stolen automobile will be found in one week is

Moderate

A

0.3
B

0.4
C

0.5
D

0.6

Solution

$P (S \cap F) = 0 .0006,$ where S is the event that the motor cycle is stolen and F is the event that the motor cycle is found. Therefore,
$\begin{array}{l} P (S) = 0 .0015 \\ P (F / S) = \frac{P (F \cap S)}{P (S)} = \frac{6 \times 10^{- 4}}{15 \times 10^{- 4}} = \frac{2}{5} \end{array}$

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Recieve an sms with download link

Doubts App

OR

SCAN ME

Doubts App

Doubts App