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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?
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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.
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 .
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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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? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about 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? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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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