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If A card is drawn at random from a pack of $52$ cards then Find the probability that the card drawn is:(vii) neither an ace nor a king (viii) neither a red card nor a queen
If A card is drawn at random from a pack of $52$ cards then Find the probability that the card drawn is:(vii) neither an ace nor a king (viii) neither a red card nor a queen
CBSE | Class 10 | Exercise 13.1 | Maths | Probability | RD Sharma
If A card is drawn at random from a pack of $52$ cards then Find the probability that the card drawn is:(vii) neither an ace nor a king (viii) neither a red card nor a queen

(vii) Total number of ace cards are $4$ and king are $4$

Total number of cards that are an ace or a king $=4+4=8$

Thus, the total number of cards that are neither an ace nor a king is $52–8=44$

As We know that, Probability = Number of favorable outcomes/ Total number of outcomes

Thus, the probability of getting cards which are neither an ace nor a king $=44/52=11/13$

(viii) It’s known that the total number of red cards is $26$.

Total number of queens are $4$ in which $2$ red queens are also included

Therefore, total number of red cards or queen will be $26+2=28$

As, the total number of cards that are neither a red nor a queen$=52-28=24$

As We know that, Probability = Number of favorable outcomes/ Total number of outcomes

Therefore, the probability of getting neither a red card nor a queen $=24/52=6/13$

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