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Question

An card is drawn at random from a well shuffled pack of 52 cards . Find the probability Of getting Neither red card not a queen card.

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Solution

Dear student, the above solution is the simplest method. I suggest you to read it twice.

If you still not able to understand, I will give you some more information for a better understanding.

The total number of cards=52 (Black 26 & red 26)
Total number of queen cards = 4 (black 2 & red 2) So the number of queen cards which are not red = 2

(Combining above two terms) So total number of red cards or queen cards = 26+2 = 28
the required probability = fraction numerator N u m b e r space o f space f a v o r i t e space o u t c o m e s over denominator t o t a l space p o s s i b l e space o u t c o m e s end fraction equals 28 over 52 equals 7 over 13
We know the total probability = 1
So the probability that the card is neither red nor queen =1-(probability of the total number of red cards or queen cards)equals 1 minus 7 over 13
equals 6 over 13


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