Question

A Card is drawn at random from a pack
of well Shuffled 52 playing Cards find
the probability that the card drawn is
e A king Card abd Red Coloured card.​

Answer 1

Answer:

To find:

The probability of getting

(i) A king Card and Red Coloured card.

So,

There are four different cards,

Clubs (black) = 13. Here 1 to 10 and 1 king, 1 queen, and 1 jack

Spades (black) = 13. Here 1 to 10 and 1 king, 1 queen, and 1 jack

Diamond (red) = 13. Here 1 to 10 and 1 king, 1 queen, and 1 jack

Heart (red) = 13. Here 1 to 10 and 1 king, 1 queen, and 1 jack

So,

A king card = 4

Red colour cards = 13 - 2(king cards, as 2 red king cards are mentioned above) = 11

So,

A king and red colour card = 4 + 11 = 15

Therefore,

Number of favourable outcomes = 15

Total number of possible outcomes = 52

Hence,

Probability = \frac{Number\ of\ favourable\ outcomes}{Total\ number\ of\ possible\ outcomes}Probability=

Total number of possible outcomes

Number of favourable outcomes

So,

Probability of getting a king card and a red coloured card is

= \frac{15}{52}=

52

15

Answer 2

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Total no. of cards =52

(a) No. of face cards =12

So, p(face card)=5212=266=133

Thus, p(non-face card) =1−133

=1313−3

=1310

(b) No. of black kings =2

No. of red queen =2

No. of a black king and red queen =2+2=4

Thus, P(black king or red queen)=524=262

=131.