The letters of the word $\mathrm{PROBABILITY}$ are written on $11$ cards: \(\mathrm{P, R, O, B,

Question

The letters of the word $\mathrm{PROBABILITY}$ are written on $11$ cards: $\mathrm{P, R, O, B, A, B, I, L, I, T, Y}$. Two cards are drawn at random without replacement. Let $A$ be the event that the first card drawn is $A$, and $B$ the event that the second card drawn is $B$. Find $P(A)$.[1] Find $P(B|A)$.[2] Find $P(A ∩ B)$.[3]

Accepted Answer

(a) $P(A)=\dfrac1{11}$ (b) $P(B\mid A)=\dfrac15$ (c) $P(A\cap B)=\dfrac1{55}$

Calculate ordered draws without replacement and show dependence.

Calculate ordered draws without replacement and show dependence.

Video Solution:

Solution:

Solution locked