Question

A card is drawn from a well shuffled deck of 52 cards find the probability of drawing a spade or a heart

Answer 1

A card is drawn from a well shuffled deck of 52 cards

Probability of (drawing a card) = $\frac{number \ of \ cards \ that \ occur}{total \ number \ of \ cards}$

Total number of cards = 52

Number of spade = 13

Number of heart = 13

Probability ( drawing a spade) = $\frac{13}{52} = \frac{1}{4}$

Probability ( drawing a heart) = $\frac{13}{52} = \frac{1}{4}$

probability of drawing a spade or a heart = $\frac{1}{4} +\frac{1}{4}$

= $\frac{2}{4}$ = $\frac{1}{2}$

Answer 2

a half ratio so 26:52 or 2:4 or 1:2 depending on if it asked you to simplify or not.

Because it asked both heart and spade, there are 13 per shape in a deck. so 13+13 = 26 and 26 is equal to one half of a deck.