Question

one card is drawn from a well shuffled deck of 52 cards. Calculate the probability that the card will. 1 be an king. 2 not be an king​

Answer 1

Answer:

i) getting a king=4/52=1/13

ii)not getting a king=48/52=12/13

Answer 2

The probability of a card drawn is a king is 1/13

The probability of a card drawn is a king is 1/13 The probability of a card drawn is not a king is 12/13

GIVEN

Pack of 52 cards

TO FIND

The probability of a drawn card will be -

1. A King
2. Not a king

SOLUTION:

We can simply solve the problem as under -

Probability is defined as the ratio of the number of favorable to the total outcomes.

$probability = \frac{favorable \: outcomes}{total \: number \: outcomes}$

we know,

There are four suits in a pack of 52 cards -

13 cards - Heart

13 cards - Diamond

13 cards - spades

13 cards - Clubs

Each suit has 1 king.

so, the total number of King cards = 52/13 = 4 cards

Probability of King cards = 4/52 = 1/13.

Favorable outcomes for the card to be drawn that is not a king = Total number of cards - Number of King cards

Favorable outcome = 52-4 = 48

Probability of not king cards = 48/52 = 12/13

Hence,

The probability of a card drawn is a king is 1/13

The probability of a card drawn is a king is 1/13 The probability of a card drawn is not a king is 12/13

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