Question

There are $3$ hockey players Vinay, Raja and Jayanth, who are equally capable of scoring a goal in a match, it was known that the team scored $3$ goals, then the probability that Vinay scored one goal and Raja scored two goals is

• A. $\frac{1}{27}$
• B. $\frac{6}{27}$
• C. $\frac{2}{9}$
• D. $\frac{1}{10}$

Answer 1

The correct option is D $\frac{1}{10}$

Vinay	Raja	Jayanth
0	0	3
0	1	2
0	2	1
0	3	0
1	0	2
1	1	1
1	2	0
2	0	1
2	1	0
3	0	0

Required probability $=\frac{\text{No of favourable posibilty}}{\text{No of all posibility}}$
No of favourable possibility $=1$
No of all possibility $=10$
Therefore, required probability $=\frac{1}{10}$

Hence, option 'D' is correct.