In: Statistics and Probability
Consider a standard 52 card deck, what is the probability of getting a heart and king with no replacement?
let us assume first card is heart and second is king
There are 13 cards of heart and 4 kings.
Then
Let A : P(first card heart second king without replacement)
(this is assuming the first card drawn is not a king of heart and second term is if first card drawn is a king of heart)
Let B : P(first card is king second is heart without replacement)
(this is assuming the first card drawn is not a king of heart and second term is if first card drawn is a king of heart)
Total probability = A + B
= 0.0343 + 0.0377
= 0.072
Probability of getting a heart and king with no replacement = 0.72