From a pack of 52 playing card, Jacks, Queens and kings of red colour are removed. From the remaining a card is drawn at randon. Find the probability that Drawn card is : 3 a) A black king b)A card of red colour c) A card of black colour?

Question

Answer

Here is your answer--

total no of cards=52

total no of cards removed = 6

cards remaining = 46

therefore,

prob. of getting a black king = 2/46= 1/23

prob. of getting a red color card = 20/46=12/23

and prob. of getting a black color card = 26/46= 13/23

Answer

total no of cards=52

total no of cards removed = 6

cards remaining = 46

therefore,

prob. of getting a black king = 2/46= 1/23

prob. of getting a red color card = 20/46=12/23

and prob. of getting a black color card = 26/46= 13/23

Answer

**Problem:**
From a pack of 52 playing cards, Jacks, Queens, and Kings of red color are removed. From the remaining cards, a card is drawn at random. Find the probability that the drawn card is:
a) A black king
b) A card of red color
c) A card of black color

**Solution:**

To solve this problem, we need to determine the number of favorable outcomes (cards that satisfy the given condition) and the total number of possible outcomes (all remaining cards).

**Total Number of Possible Outcomes:**
Since Jacks, Queens, and Kings of red color are removed, there are 52 - 3 * 2 = 46 cards remaining in the pack.

**a) Probability of Drawing a Black King:**
There are 2 black kings (King of Spades and King of Clubs) remaining in the pack.

Number of favorable outcomes = 2
Total number of possible outcomes = 46

Probability of drawing a black king = Number of favorable outcomes / Total number of possible outcomes = 2 / 46 = 1 / 23

**b) Probability of Drawing a Card of Red Color:**
To determine the number of cards of red color remaining, we need to subtract the number of cards of black color from the total number of remaining cards.

Number of favorable outcomes (cards of red color) = Total number of remaining cards - Number of cards of black color = 46 - 26 = 20

Total number of possible outcomes = 46

Probability of drawing a card of red color = Number of favorable outcomes / Total number of possible outcomes = 20 / 46 = 10 / 23

**c) Probability of Drawing a Card of Black Color:**
To determine the number of cards of black color remaining, we can directly count the number of black cards in the pack. There are 26 black cards (13 Spades and 13 Clubs).

Number of favorable outcomes (cards of black color) = 26
Total number of possible outcomes = 46

Probability of drawing a card of black color = Number of favorable outcomes / Total number of possible outcomes = 26 / 46 = 13 / 23

Therefore, the probabilities are:
a) Probability of drawing a black king = 1 / 23
b) Probability of drawing a card of red color = 10 / 23
c) Probability of drawing a card of black color = 13 / 23

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