There are 15 boys and 10 girls in a class. If three students are selected at random, what is the probability that 1 girl and 2 boys are selected?a)b)c)d)Correct answer is option 'C'. Can you explain this answer?

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There are 15 boys and 10 girls in a class. If three students are selected at random, what is the probability that 1 girl and 2 boys are selected?

Correct answer is option 'C'. Can you explain this answer?

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There are 15 boys and 10 girls in a class. If three students are selec...

Let S be the sample space.

n(S) = Total number of ways of selecting 3 students from 25 students = ²⁵C₃

Let E = Event of selecting 1 girl and 2 boys

n(E) = Number of ways of selecting 1 girl and 2 boys

15 boys and 10 girls are there in a class. We need to select 2 boys from 15 boys and 1 girl from 10 girls

Number of ways in which this can be done:

¹⁵C₂ × ¹⁰C₁

Hence n(E) = ¹⁵C₂ × ¹⁰C₁

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Most Upvoted Answer

There are 15 boys and 10 girls in a class. If three students are selec...

Let S be the sample space and E be the event of selecting 1 girl and 2 boys.

Then, n(S) = Number ways of selecting 3 students out of 25

= 25C3 `

= (25 x 24 x 23)/(3 x 2 x 1)
= 2300.

n(E) = (10C1 x 15C2)
= 10 x (15 x 14)/(2 x 1)
= 1050.

P(E) = n(E) /n(S) = 1050/2300

= 21/46.

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There are 15 boys and 10 girls in a class. If three students are selec...

Let S be the sample space.

n(S) = Total number of ways of selecting 3 students from 25 students = ²⁵C₃

Let E = Event of selecting 1 girl and 2 boys

n(E) = Number of ways of selecting 1 girl and 2 boys

15 boys and 10 girls are there in a class. We need to select 2 boys from 15 boys and 1 girl from 10 girls

Number of ways in which this can be done:
¹⁵C₂ × ¹⁰C₁
Hence n(E) = ¹⁵C₂ × ¹⁰C₁

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