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

16 ways

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=(n!)/(r!(n-r)!)`

Number of ways drawing one card of heart out of 13=
`(13!)/(1!12!)=(13* 12!)/(12!)=13`

Number of ways of drawing one card of queen out of 4=
`4C_1=(4!)/(3!)`

Number of ways of drawing one card of queen out of 4=
`(4* 3!)/(3!)=4`

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