Question

Three cards are randomly drawn from an ordinary deck of playing cards without replacement .What is the probability the first card is a heart

Answer 1

$|\Omega|=52\cdot51\cdot50=132,600\\ |A|=13\cdot51\cdot50=33,150\\\\ P(A)=\dfrac{33,150}{132,600}=\dfrac{1}{4}=25\%$