Question

You are dealt one card from a ​52-card deck. find the probability that you are dealt a numbered card or a heart. ​ (note: a numbered card is a card with a value from 2 to​ 10.)

Answer 1

$|\Omega|=52\\ |A|=\underbrace{40}_{\text{numbered cards}}+\underbrace{13}_{\text{hearts}}-\underbrace{10}_{\text{numbered hearts}}=43\\\\ P(A)=\dfrac{43}{52}\approx83\%$