Question

"Suppose you draw a single card from a standard deck of 52 cards. How many ways arethere to draw either queen or a heart?"

Answer 1

Answer:

16 ways

Step-by-step explanation:

We are given that

Total cards=52

Total queen in deck of cards=4

Total cards of heart=13

We know 1 card of queen is heart

Number of ways drawing one card of heart out of 13=$13C_1$

Using combination formula ;$nC_r=\frac{n!}{r!(n-r)!}$

Number of ways drawing one card of heart out of 13=$\frac{13!}{1!12!}=\frac{13\times 12!}{12!}=13$

Number of ways of drawing one card of queen out of 4=$4C_1=\frac{4!}{3!}$

Number of ways of drawing one card of queen out of 4=$\frac{4\times 3!}{3!}=4$

Total number of ways of drawing one card out of 52 cards=$13+4-1=16$