Six students are to be selected for a quiz competition from $10$ aspirants. The probability that two particular students are excluded is

\frac{2}{15}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

\frac{1}{3}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

\frac{1}{5}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

\frac{2}{3}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A $\frac{2}{15}$
Number of ways to selecting $6$ students if two are never selected,
$=^{8} C_{6} = 28$
Total number of ways to select the students,
$=^{10} C_{6} = 210$

Required probability
$= \frac{28}{210} = \frac{2}{15}$

Suggest Corrections

Similar questions

Team of four students is to be selected from a total of 12 students for a quiz competition. In how many ways it can be selected if two particular students should be included and two particular students don't want to be in the team.

Team of four students is to be selected from a total of 12 students for a quiz competition. In how many ways it can be selected if two particular students refuse to be together and two particular students wish to be together only in the team. .

Team of four students is to be selected from a total of 12 students for a quiz competition. In how many ways it can be selected if two particular students wish to be included together only.

Team of four students is to be selected from a total of 12 students for a quiz competition. In how many ways it can be selected if two particular students have to be included in the team.

Q. For a quiz competition, a group of 3 students is selected randomly from a class consisting of 5 boys and 5 girls. What is the probability that one boy and two girls are selected?

Join BYJU'S Learning Program

Six students are to be selected for a quiz competition from 10 aspirants. The probability that two particular students are excluded is

The correct option is A 215Number of ways to selecting 6 students if two are never selected, = 8C6=28 Total number of ways to select the students, = 10C6=210 Required probability =28210=215

Six students are to be selected for a quiz competition from $10$ aspirants. The probability that two particular students are excluded is

The correct option is A $\frac{2}{15}$
Number of ways to selecting $6$ students if two are never selected,
$=^{8} C_{6} = 28$
Total number of ways to select the students,
$=^{10} C_{6} = 210$

Required probability
$= \frac{28}{210} = \frac{2}{15}$