Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Probability

Question:

A and B each throw a fair dice. The probability that A’s throw is not greater than B’s throw, is equal to

Options:

$\frac{1}{3}$

$\frac{2}{3}$

$\frac{7}{12}$

$\frac{5}{12}$

Correct Answer:

$\frac{7}{12}$

Explanation:

Let ‘A’s throw is r,r = 1, 2, 3, …6, then ‘B’s outcome can be (r, r + 1, ….6),

Thus required probability

$=\sum\limits_{r=1}^6 \frac{7-r}{36}=\sum\limits_{r=1}^6 \frac{r}{36}=\frac{7}{12}$