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.
Answers
Step-by-step explanation:
In 52 cards getting a one card as 52 times
(i)The king in card is two getting in 2 times
Then probability = 2/52 = 1/26
(ii)In 52 cards the king ,queen and joker are three face card.Then total face cards are 12.So these card get 12 times
Then probability = 12/52 =3/13
(!!!)In 52 cards the red face card are 3 face card.Then total
red face cards are 3.So these card get 6 times
Then probability = 6/52 =3/26
(iv)In 52 cards the jack of heart card is one .So the getting time card is one
Then probability =1/52
(v)In 52 cards the spade cards are 13. So getting time is 13
Then probability = 13/52 =1/4
(vi)In 52 cards the queen of diamonds is one .So getting time is one
Then probability= 1/52
Given:
- 1 Card is Drawn from a well-shuffled deck of 52 Cards
Find:
What is the Probability of :-
- A king of Red Color
- A face Card
- A red Face Card
- The jack of Hearts
- A spade
- The queen of diamonds
Solution:
✏ A king of Red Color:-
Total Possible Outcomes = 52
we, know
There are two suits of Red Cards, i.e., diamond and heart . Each suit contains one king.
Favourable Outcomes = 1 + 1 = 2
we, know that
where,
- Favourable Outcomes = 2
- Total Outcomes = 52
So,
Hence, Probability of Getting a king of Red Color =
✏ A face Card:-
Total Possible Outcomes = 52
we, know
There, are 12 face Card in a pack.
Favourable Outcomes = 12
we, know that
where,
- Favourable Outcomes = 12
- Total Outcomes = 52
So,
Hence, Probability of getting an Face Card =
✏ A Red Face Card:-
Total Outcomes = 52
we, know
There are two suits of Red Cards, i.e., diamond and heart . Each suit contains 3 face Cards.
Favourable Outcomes = 2×3 = 6
we, know that
where,
- Favourable Outcomes= 6
- Total Outcomes = 52
So,
Hence, Probability of Getting a Red Face Card =
✏ The Jack of Hearts
Total Outcomes = 52
we, know
There are only one jack of heart
Favourable Outcomes = 1
we, know that
where,
- Favourable Outcomes = 1
- Total Outcomes = 52
So,
Hence, Probability of Getting a jack of Hearts =
✏ The Spade:-
Total Outcomes = 52
There are 13 Cards of Spades
Favourable Outcomes = 13
we, know that
where,
- Favourable Outcomes = 13
- Total Outcomes = 52
So,
Hence, Probability of getting a Spade =
✏ The queen of Diamonds:-
Total Outcomes = 52
we, know
There is only 1 queen of Diamonds
Favourable Outcomes = 1
we, know that
where,
- Favourable Outcomes = 1
- Total Outcomes = 52
So,
Hence, Probability of Getting a queen of Diamond =