If you are dealt a 5-card hand from a standard deck of 52 playing cards, what is the

probability (rounded to 6 decimal places) that you are dealt at least 4 hearts?

1 answer

total of hands = C(52,5) = 2598960

at least 4 hearts ---> 4 hearts or 5 hearts

prob(at least 4 hearts) = ( C(39,1)*C(13,4) + C(39,0)*C(13,5) )/2568960

= .011224489
or
= .011224 correct to 6 decimals