One card is randomly drawn from a pack of 52 cards.

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asked Apr 6 in Class X Maths by priya12 (-12,172 points)

One card is randomly drawn from a pack of 52 cards. Find the probability that:
(i) the drawn card is red.
(ii) the drawn card is an ace.
(iii) the drawn card is red and a king.
(iv) the drawn card is red or king.

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1 Answer

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answered Apr 6 by navnit40 (-4,295 points)
In randomly drawing a card from 52 cards

N (S) = 52

(i) Let A denote the event that the drawn card is red.

n(A) = 26

∴ P (A) = n (A)/n (S) = 26/52 = ½

(ii) Let B denote the event that drawn card is an ace

n(B) = 4

n (S) = 52

P (B) = ?

∴ P (B) = n (B)/n (S) = 4/52 = 1/13

(iii) Let C denote the event that the drawn card is red and a king.

n(C) = 2

P(C) = ?

n(S) = n ( C)/n (S)

= 2/52 = 1/26

(IV) Let D denote the event that the drawn card is red or a king

n ( D) = 26 (red cards) + 2 (kings)

= 28

P ( D) = ?

n(S) = 52

∴ P (D) = n (D)/n (S) = 28/52 = 7/13

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