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A team of 5 is to be selected from 8 boys and three girls. Find the probability that it includes two particular girls.
  • a)
    2/30
  • b)
    1/5
  • c)
    2/11
  • d)
    8/9
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
A team of 5 is to be selected from 8 boys and three girls. Find the pr...
Given:
Total number of people = 8 boys + 3 girls = 11 people
Number of people to be selected = 5

To find:
Probability of selecting two particular girls in a team of 5

Solution:
Total number of ways of selecting 5 people from 11 = 11C5 = 462 (using combination formula)

Number of ways of selecting 2 particular girls and 3 boys from 8 = 8C3 = 56 (using combination formula)

Number of ways of selecting 2 particular girls from 3 = 3C2 = 3 (using combination formula)

Therefore, the number of ways of selecting a team of 5 that includes two particular girls = 56 * 3 = 168

Probability of selecting a team of 5 that includes two particular girls = number of ways of selecting a team of 5 that includes two particular girls / total number of ways of selecting 5 people from 11

= 168 / 462

= 2 / 11

Therefore, the probability of selecting a team of 5 that includes two particular girls is 2/11.

Hence, option C (2/11) is the correct answer.
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Community Answer
A team of 5 is to be selected from 8 boys and three girls. Find the pr...
No. of girls = 2
there are in all 11 participants (8boys +3girls= 11)
therefore total no. of participants (S)=11
according to event (a)2 girls are included
hence probability of event A=a/S= 2/11
*the team of 5 is just given to create confusion. Here they have not asked about team .We have to find the possibility of girls selected from overall participants .
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A team of 5 is to be selected from 8 boys and three girls. Find the probability that it includes two particular girls.a)2/30b)1/5c)2/11d)8/9Correct answer is option 'C'. Can you explain this answer?
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