Question

Two symmetrical dice are thrown $200$ times. Getting a sum of $9$ points is considered to be a success. The probability distribution of successes is

• A. $(200,\frac{1}{9},\frac{8}{9})$
• B. $(200,\frac{2}{9},\frac{7}{9})$
• C. $(200,\frac{4}{9},\frac{5}{9})$
• D. $(200,\frac{1}{4},\frac{3}{4})$

Answer 1

The correct option is A $(200,\frac{1}{9},\frac{8}{9})$

Two symmetrical dice are thrown $200$ times. $n=200$

Getting a sum of $9$ points is considered to be a success.

Ways of sum $9$ are$=(3,6),(6,3),(4,5),(5,4)$ total ways of sum $9=4$

Total ways of when $2$ die are rolled $=36$

Probability of success $=p=$ $\frac{4}{36}=\frac{1}{9}$

So, $q=(1-p)=(1-$ $\frac{1}{9})=\frac{8}{9}$

The probability distribution of successes is $=(n,p,q)$

$=(200,\frac{1}{9},\frac{8}{9})$