Question

From a pack of 52 cards. a card is drawn at random. Find the probability that the card drawn is 1-a face of card
2-a king of red card
3-a spade
4-either king or queen
5-a non-face card

Answer 1

QUESTION;

From a pack of 52 cards. a card is drawn at random. Find the probability that the card drawn is 1-a face of card

2-a king of red card

3-a spade

4-either king or queen

5-a non-face card

ANSWER:

BASIC KNOWLEDGE ABOUT CARDS:

probability(E)=

$\frac{no \: of \: favourable \: outcome \: }{total \: outcome}$

There are total 52 cards, in which it has diamond, club, spade and heart. Thirteen of each.

There are two broad divisions in colors of cards. 26 (red) and 26 (black).

The diamond and heart are red cards while club and spade are black cards.

NOW, in each suit of card there are 13 cards which contains.

1. 3 face cards, King, Queen and Jack.

2. ONE ace card

3. number cards

_____________________________

NOW MAIN QUESTION :

1. A face card.

There are 3 face cards in each suit and there are total 4 suits so total face cards are 12.

$p(face \: card) = \frac{12}{52} \\ p(face \: card) = \frac{3}{13}$

2. a king of red card.

There are two suits of red in each suit there is one king so total red king are 2.

$p(red \: king) = \frac{2}{52} \\ p(red \: king) = \frac{1}{26}$

3. a spade

There are total 13 spades .

$p(spade) = \frac{13}{52} \\ p(spade) = \frac{1}{4}$

4. either a king or queen

There is one king and one queen in each suit .there are total 4 suits so total king are 4 and total queen 4.

8 in total.

p( either a king or queen) = 8/52

p (either a king or queen)= 2/13

_____________________________

PLZ MARK AS BRAINLIEST

Answer 2

Answer:

1- 12/52=3/13

2-2/52=1/26

3-13/52=1/4

4-8/52=2/13

5-40/52=10/13

Explanation: