NDA_Math_2025_Q98

Question:

What is the value of P(X = 3)?

What is the value of P(X = 3)?

Options:

  • a) 135 1024
  • b) 5 128
  • c) 45 1024
  • d) 70 1024 Direction for Questions (99-100): Consider the following for the two (02) items that follow: A committee of 6 members is formed from a group of 7 gentlemen and 4 ladies.
  • a) 135 1024
  • b) 5 128
  • c) 45 1024
  • d) 70 1024 Direction for Questions (99-100): Consider the following for the two (02) items that follow: A committee of 6 members is formed from a group of 7 gentlemen and 4 ladies.

correct answer : a)

Explanation:

P(x = 3) = 6C3(k)3 (1 – k)3
= 654
321
1
4
3
4
33..
..

 
 
 

=

20 3
16
3




=

20 27
16 16 16× ××
= 135
1024

P(x = 3) = 6C3(k)3 (1 – k)3
= 654
321
1
4
3
4
33..
..

 
 
 

=

20 3
16
3




=

20 27
16 16 16× ××
= 135
1024

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