Question

Say there are 15 viral flu particles in the air, 9 of which are drug sensi-...

Say there are 15 viral flu particles in the air, 9 of which are drug sensi- tive and 6 that are resistant. If you inhale 5 particles total, what is the probability that (a) the particles are all resistant? (b) the particles are all sensitive?

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Answer #1

x items are selected from n items by nCx ways.

Where ,

nCx = n! / [ ( n -x)! * x! ]

a)

P(All resistant) = 6C5 / 15C5

= 6 / 3003

= 0.0020

b)

P(All sensitive ) = 9C5 / 15C5

= 126 / 3003

= 0.0420

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