What is the probability that a card drawn randomly from a standard deck of 52 cards is a red king?

Answer

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Total number of cards in a pack = 52

∴ Number of possible outcomes = 52

(i) There are 2 red kings in a pack of cards such as king of heart and king of diamond.

Number of favourable outcomes = 2

Let E be the event that the card is red king.

`therefore P(E)=\text{Number of favourable outcomes}/\text{Number of possible outcomes}=2/52=1/26`

Thus, the probability of getting a red king is `1/26`.

(ii) There is one queen and one jack for each of spade, heart, club and diamond. Thus, there are 4 queens and 4 jacks in a pack of cards.

Number of favourable outcomes = 8

Let F be the event that the card is a queen or a jack.

`therefore P(f)=\text{Number of favourable outcomes}/\text{Number of possible outcomes}=8/52=2/13`

Thus, the probability of getting a queen or a jack is`2/13`

ANSWER:-

Total number of cards is 52 So n(S) = 52 Total number of red king is 2 So n(E) = 2 The  probability  of  getting a red king P(E) = n(E)/n(S)

P = 2/52 = 1/26

Hence calculating probability of getting a red king is 1/26

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What is probability in Mathematics OR Explain how do you calculate probability ?
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