One card is drawn from a well shuffled deck of $52$ cards. If each outcome is equally likely, calculate the probability that the card will be
a black card.

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Solution

There are $26$ black cards
$(13$ spade and $13$ club)
Let $C$ be the probability that card drawn is black
$n (C) = 13 + 13 = 26$
Hence,
Probability card drawn is black $= P (C)$
$\begin{matrix} = \frac{n u m b e r o f b l a c k c a r d s}{t o t a l n u m b e r o f c a r d s} = \frac{n (C)}{n (S)} = \frac{26}{52} = \frac{1}{2} \end{matrix}$

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One card is drawn from a well shuffled deck of 52 cards. If each outcome is equally likely, calculate the probability that the card will be a black card.

There are 26 black cards(13 spade and 13 club)Let C be the probability that card drawn is blackn(C)=13+13=26Hence,Probability card drawn is black =P(C)=numberofblackcardstotalnumberofcards=n(C)n(S)=2652=12

One card is drawn from a well shuffled deck of $52$ cards. If each outcome is equally likely, calculate the probability that the card will be
a black card.