Q1 I have a well shuffled deck of 52 playing cards. Write the probability of getting the following out of the deck of cards when a card is drawn at random
i) An ace ii) a black 10 iii) a red card iv) a face card v) A king
Answers
Step-by-step explanation:
We use the basic formula of probability to solve the problem.
Probability = Number of possible outcomes/Total number of favorable outcomes.
Total number of cards from a well-shuffled deck = 52
Number of spade cards = 13
Number of heart cards = 13
Number of diamond cards = 13
Number of club cards = 13
Total number of kings = 4
Total number of queens = 4
Total number of jacks = 4
Number of face cards = 12
(i) Probability of getting a king of red colour = Number of red colour king/Total number of outcomes
We will have 2 red kings (Heart and Diamond)
= 2/52 = 1/26
(ii) Probability of getting a face card = Number of face cards/Total number of outcomes
12/52 = 3/13
(iii) Probability of getting a red face card = Number of red face cards/Total number of outcomes
We will have 3 diamond face cards and 3 heart face cards that sum up to 6 red face cards.
= 6/52 = 3/26
(iv) Probability of getting the jack of hearts = Number of jack of hearts/Total number of outcomes
= 1/52
(v) Probability of getting a spade card = Number of spade cards/Total number of outcomes
= 13/52 = 1/4
(vi) Probability of getting the queen of diamonds = Number of possible outcomes/Total number of favourable outcomes
= 1/52
Answer:
Correct options are A) , B) and C)
In 52 cards getting a one card as 52 times
a.(1) The king in card is two getting in 2 times
Then probability =
52
2
=
26
1
(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 =
52
12
=
13
3
(!!!)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 =
52
6
=
26
3
(iv)In 52 cards the jack of heart card is one .So the getting time card is one
Then probability =$$\frac{1}{52}