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A group of 4 students is to be chosen from 3 boys and 5 girls.Find the probability that the group contains exactly 3 girls

🗓 Mar 23, 2024

Answer is "3/7"

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Shubham - Chandigarh University 🌐 India
Selecting 4 members can include no of possibilities like


0 boys and 4 girls - 3C0*5C4 - 1*5 = 5

1 boy and 3 girls - 3C1*5C3 - 3*10 = 30

2 boys and 2 girls - 3C2*5C2 - 3*10 = 30

3 boys and 1 girl - 3C3*5C1 - 1*5 = 5


Total 5+30+30+5 = 70


group of students containing exactly 3 girls is 30


probability = 30/70 = 3/7
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Squid Game 😅 🌐 Haryana
It's very simple

(5C3*3C1)/8C4 ==> 3/7 (answer)
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