One card is drawn from a well shuffled deck of 52 cards. Find the probability of getting:
(i)a king of red suit
(ii)a face card
(iii)a red face card
(iv)a queen of black suit
(v)a jack of hearts
(vi)a spade
Answers
SOLUTION :
Given : Total number of cards in one Deck of cards = 52
Total number of outcomes = 52
(i) Let E1 = Event of getting a king of red suit
Number of outcome favourable to E1 = 2
[There are four kings in a deck of playing cards out of which two are red and 2 or black]
Probability (E1) = Number of favourable outcomes / Total number of outcomes
P(E1) = 2/52 = 1/26
Hence, the required probability of getting a king of red suit , P(E1) = 1/26 .
(ii) Let E2 = Event of getting a face card
Number of face card = 4 kings + 4 queen's + 4 jack's = 12
Number of outcome favourable to E2 = 12
Probability (E2) = Number of favourable outcomes / Total number of outcomes
P(E2) = 12/52 = 3/13
Hence, the required probability of getting a face card , P(E2) = 3/13 .
(iii) Let E3 = Event of getting a red face card
Number of red face card = 2 kings + 2 queen's + 2 jack's = 6
Number of outcome favourable to E3 = 6
Probability (E3) = Number of favourable outcomes / Total number of outcomes
P(E3) = 6/52 = 3/26
Hence, the required probability of getting a red face card , P(E2) = 3/26 .
(iv) Let E4 = Event of getting a queen of black suit cards
Number of queen of black suit cards
= 2
Number of outcome favourable to E4 = 2
Probability (E4) = Number of favourable outcomes / Total number of outcomes
P(E4) = 2/52 = 1/26
Hence, the required probability of getting a queen of black suit cards , P(E4) = 1/26
(v) Let E5 = Event of getting a jack of heart
Number of jack of heart = 1
Number of outcome favourable to E5 = 1
Probability (E5) = Number of favourable outcomes / Total number of outcomes
P(E5) = 1/52
Hence, the required probability of getting a jack of heart , P(E5) = 1/52
(vi) Let E6 = Event of getting a spade cards Number of a spade cards = 13
Number of outcome favourable to E6 = 13
Probability (E6) = Number of favourable outcomes / Total number of outcomes
P(E6) = 13/52 = 1/4
Hence, the required probability of getting a spade cards , P(E5) = 1/4
HOPE THIS ANSWER WILL HELP YOU….
SOLUTION OF YOUR QUESTION IS HERE
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____SOLUTION_____
TOTAL NO. OF CARDS = 52
(1). RED SUIT KING = 2
PROBABILITY OF GETTING RED SUIT KING = 2/52
= 1/26
(2). TOTAL FACE CARDS = 12
PROBABILITY OF GETTING FACE CARD = 12/52
= 3/13
(3). TOTAL RED FACE CARDS = 6
PROBABILITY OF GETTING RED FACE = 6/52
= 3/26
(4). QUEEN OF BLACK SUIT = 2
PROBABILITY OF GETTING BLACK QUEEN = 2/52
= 1/26
(5). PROBABILITY OF GETTING JACK OF HEARTS = 1/52
(6). TOTAL SPADE = 13
PROBABILITY OF GETTING SPADE = 13/52
= 1/4
HOPE IT HELPS YOU♥♥