A card is drawn of random from a well shuffled deck of 52 playing card

1.	A card is drawn of random from a well shuffled deck of 52 playing cards. Find the probability that the card drawn is a(i) red king(ii) A queen or a jack
Answer» The deck contains 52 playing cards and a card can be drawn by 52 different ways. ∴ Total number of all possible outcomes = 52. (i) Let the event of getting red king be R. ∴ The number of favourable outcomes of R = 2 P(R) = \(\frac { 2 }{ 52 }\) = \(\frac { 1 }{ 26 }\) (ii) Let the event of getting a queen or jack be A. ∴ The number of favourable outcomes of A = 8. ∴ P(A) = \(\frac { 8 }{ 52 }\) = \(\frac { 2 }{ 13 }\) Hence (i) P(R) = \(\frac { 1 }{ 26 }\) and (ii) P(A) = \(\frac { 2 }{ 13 }\).

A card is drawn of random from a well shuffled deck of 52 playing cards. Find the probability that the card drawn is a(i) red king(ii) A queen or a jack

Answer»

The deck contains 52 playing cards and a card can be drawn by 52 different ways.

∴ Total number of all possible outcomes = 52.

(i) Let the event of getting red king be R.

∴ The number of favourable outcomes of R = 2

P(R) = \(\frac { 2 }{ 52 }\) = \(\frac { 1 }{ 26 }\)

(ii) Let the event of getting a queen or jack be A.

∴ The number of favourable outcomes of A = 8.

∴ P(A) = \(\frac { 8 }{ 52 }\) = \(\frac { 2 }{ 13 }\)

Hence (i) P(R) = \(\frac { 1 }{ 26 }\) and (ii) P(A) = \(\frac { 2 }{ 13 }\).

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A card is drawn of random from a well shuffled deck of 52 playing cards. Find the probability that the card drawn is a(i) red king(ii) A queen or a jack

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