Math, asked by shellynagpal577, 11 hours ago

A card is drawn at random from a well shuffled pack of 52 cards. Find the probability of drawing (i) a club, (ii) a king or an ace, (iii) not a spade​

Answers

Answered by gourangamudi299
28

There are 52 cards in a deck of cards. One card is drawn at random.

∴ The number of all possible outcomes in the experiment of drawing a card = 52

(i) Let A be the event 'the card drawn is a club'.

There are 13 club cards in a deck.

∴ The number of outcomes favourable to A is 13.

∴ P(A) = 13/52 = 1/4

(ii) Let B be the event 'the card drawn is a king or an ace'.

There are 4 kings cards and 4 ace cards in a deck.

∴ The number of outcomes favourable to B is 8 (4+4).

∴ P(B) = 8/52 = 2/13

(iii) Let C be the event 'the card drawn is a spade'.

There are 13 spade cards in a deck.

∴ The number of outcomes favourable to C is 13.

∴ P(C) = 13/52 = 1/4

Hope this answer would help you !

If you like my answer, then mark me as brainliest !

Answered by amansharma264
44

EXPLANATION.

A card is drawn at random for a well shuffled pack of 52 cards.

As we know that,

Probability = Number of favorable outcomes/Total number of outcomes.

Total number of outcomes = 52.

(1) a club.

A club contains 13 cards.

1 king, 1 queen, 1 jack, 1 ace, 2- 10 cards.

Number of favorable outcomes = 13.

Probability = 13/52. = 1/4.

Probability = 1/4.

(2) a king Or an ace

A king contains 4 cards.

A ace also contains 4 cards.

Number of favorable outcomes = 4 + 4 = 8.

Probability = 8/52. = 2/13.

Probability = 2/13.

(3) Not a spade.

Number of spade card = 13.

Total number of cards = 52.

Not a spade card = 52 - 13 = 39.

Number of favorable outcomes = 39.

Probability = 39/52.

Probability = 3/4.

Similar questions