If A card is drawn at random from a pack of $52$ cards then Find the probability that the card drawn is: (i) a black king (ii) either a black card or a king
If A card is drawn at random from a pack of $52$ cards then Find the probability that the card drawn is: (i) a black king (ii) either a black card or a king

Given that A card is drawn at random from a pack of $52$ cards

To Find: Probability of the following

Total number of cards in a pack $=52$

(i) Number of cards which are black king $=2$

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

Therefore, the probability of getting a black king $=2/52=1/26$

(ii) Total number of black cards is $(13+13)26$

Total number of kings are $4$ in which $2$ black kings are also included.

So, the total number of black cards or king will be $26+2=28$

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

Therefore, the probability of getting a black card or a king $=28/52=7/13$