First slide

Theorems of probability

Question

$Two dices are rolled. If both dices have six faces numbered 1, 2, 3, 5, 7 and 11, then the$ probability that the sum of numbers on the top faces is less than or equal to 8 is

Moderate

A

$\frac{4}{9}$
B

$\frac{17}{36}$
C

$\frac{5}{12}$
D

$\frac{1}{2}$

Solution

$\begin{matrix} Favourable ordered pairs for the event E \\ \{\begin{array}{l} (1, 1), (1, 2), (1, 3), (1, 5), (1, 7), (2, 1), (2, 2), (2, 3), (2, 5), \\ (3, 1), (3, 2), (3, 3), (3, 5), (5, 1), (5, 2), (5, 3), (7, 1) \end{array}\} \\ n (E) = 17, n (S) = 36 \\ P (E) = \frac{17}{36} \end{matrix}$

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