One card is drawn from a well-shuffled deck of $52$ cards. Find the probability of getting a non-face card of red colour.

\frac{5}{13}

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\frac{4}{13}

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\frac{2}{13}

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\frac{1}{26}

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Solution

The correct option is A $\frac{5}{13}$
Total number of cards in a well-shuffled deck $= 52$

Cards of heart and diamond are red cards.

Number of heart and diamond cards $= 13 + 13 = 26$

Number of face cards in each suits namely heart and diamond $= 3 + 3 = 6$

Therefore, total number of non-face cards of red colour out of $52$ cards $= 26 - 6 = 20$

P(getting a non-face red colour) $=$ $\frac{N u m b e r o f f a v o u r a b l e o u t c o m e s}{N u m b e r o f t o t a l p o s s i b l e o u t c o m e s}$

$= \frac{20}{52} = \frac{5}{13}$

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