One card is drawn from a well-shuffled deck of $52$ cards. Find the probability of getting
(i) a king of red colour (ii) a face card (iii) a red face card (iv) the jack of hearts (v) a spade (vi) the queen of diamonds

Question

One card is drawn from a well-shuffled deck of

52

cards. Find the probability of getting
(i) a king of red colour (ii) a face card (iii) a red face card (iv) the jack of hearts (v) a spade (vi) the queen of diamonds

Filo · Accepted Answer

i) King of red colour can be hearts King or a diamond king.

So, the possibility is

2.

P (

Red king

) = \frac{2}{52} = \frac{1}{26}

ii) A face card can be jack, queen, king of any suite.

In this way we will get

3 \times 4 = 12

face cards.

P (

Face card

) = \frac{12}{52} = \frac{3}{13}

iii) A red face card can be either hearts or diamond king, jack or queen, which means there are

3 \times 2 = 6

P (

Red face card

) = \frac{6}{52} = \frac{3}{26}

iv) There is only one Jack of hearts.

P (

Jack of hearts

) = \frac{1}{52}

v) There are

13

spades in total.

So,

P (

Spade

) = \frac{13}{52} = \frac{1}{4}

vi) There is only one queen diamond.

Hence,

P (

Queen diamond

) = \frac{1}{52}

Question Text	One card is drawn from a well-shuffled deck of $52$ cards. Find the probability of getting (i) a king of red colour (ii) a face card (iii) a red face card (iv) the jack of hearts (v) a spade (vi) the queen of diamonds
Answer Type	Text solution:1
Upvotes	150

One card is drawn from a well-shuffled deck of $52$ cards. Find the probability of getting
(i) a king of red colour (ii) a face card (iii) a red face card (iv) the jack of hearts (v) a spade (vi) the queen of diamonds

Text solutionVerified

Practice questions from similar books

One card is drawn from a well-shuffled deck of 52 cards. Find the probability of getting(i) a king of red colour (ii) a face card (iii) a red face card (iv) the jack of hearts (v) a spade (vi) the queen of diamonds

Text solutionVerified

Practice questions from similar books

One card is drawn from a well-shuffled deck of $52$ cards. Find the probability of getting
(i) a king of red colour (ii) a face card (iii) a red face card (iv) the jack of hearts (v) a spade (vi) the queen of diamonds