Question

a card is drawn from a pack of 52 cards. what is the probability that either card is black or a king?

Answer 1

hey mate
here is ur answer

Total no. of all possible outcomes = 52

Let É be the event of getting a black card or a king.

There are 26 cards of black 'including 2 kings' and

2 more kings.

So, the no. of favourable outcomes = 26 + 2

= 28 .

Therefore,

P (getting a black card or a king) = 28/52

= 7/13 ans.


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Answer 2

Answer:

Concept:

Probability:

Probability conveys the likelihood that an event will occur. The ratio of the number of favorable outcomes of an event A to the total number of possible outcomes is used to define the probability of an event as P(A).

$P(A) = \frac{n(A)}{n(S)}$

P(A) = probability of an event A

n(A) = Number of favorable outcomes of A

n(S) = Total number of possible outcomes

Cards:

A deck of cards contains 52 cards. Each card can be divided into 4 different suits, each of which contains 13 cards.

A deck of cards can be divided into the following categories according to suits:

• Club ( Black ) - 13 cards

• Spades ( Black ) -  13 cards

• Hearts ( Red ) -  13 cards

• Diamonds ( Red ) -  13 cards

A deck of cards can also be categorized in the following ways:

• Face cards

• Number cards

• Aces

Face Card:

• The term "court cards" also applies to these cards.

• In all four suits, they are Kings, Queens, and Jacks.
• There are totally 12 face cards in a deck of cards.

Number Cards:

• The term "number cards" refers to all cards in suits from 2 to 10 inclusively.
• In addition to having numbers on them, each suit matches the number on number cards.
• There are totally 9 cards in each suit and 36 number cards in a deck of cards.

Aces:

• In each deck, there are one ace card in each suit.
• There are totally 4 ace cards.

Explanation:

Given:

A card is drawn from 52 cards:

To Find:

we need to find the probability that either card is black or a king.

Solution:

Total number of possible outcomes = 52

When a card is drawn, we know that event A will either be a King or a black card.

Black or king card:

• In addition to the two Kings, there are 26 black cards.

• Two of the red cards are Kings, though.
• Consequently, the actual number of outcomes that are in A's favor is 28  (i.e. 26+2)

P(A) is the probability that either card is black or a king,

$P(A) = \frac{n(A)}{n(S)}$

$P(A) = \frac{28}{52}$

$P(A) = \frac{7}{13}$

$P(A) = 0.538$

Hence, the probability that either the card is black or a king is $0.538$(or) $\frac{7}{13}$.

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