Question

A card is drawn at random from a well shuffled deck of playing cards. Find the probability that the

drawn card is ,

1) Black cards

2) A red king

3) Spade cards

4) A jack card

5) Ace card​

Answer 1

1) Probability of the card drawn is a card of spade or an Ace is  

2) Probability of the card drawn is a black king is  

3) Probability of the card drawn is neither jack nor king is  

4) Probability of the card drawn is either a king or queen is  

Solution:

There are 52 cards in total

Hence, total Outcomes = 52

The probability of an event is given as:

1) Probability of the card drawn is a card of spade or an Ace:

There are 13 cards of spades including one ace and there are 3 more aces.

So, the number of favourable cases = 13 + 3 = 16

2) Probability of the card drawn is a black king

There are 2 black kings.

So, the number of favourable cases = 2

3) Probability of the card drawn is neither jack nor king

There are 4 jacks and 4 kings

So, the number of cards which are neither jacks nor kings  = 52 - (4 + 4) = 44

4) Probability of the card drawn is either a king or queen

There are 4 kings and 4 queens.

So, the number of cards which are either kings or queens  = 4 + 4 = 8

Learn more about probability

A card drawn at random from a well shuffled pack of 52 playing cards find the probability of getting neither a red card nor a queen

brainly.in/question/2288007

A single card is drawn from a standard 52-card deck.Find the conditional probability that

a)THe card is red,given that it is a face card

b)The card is a heart, given that it is an ace

c)The card is a face card,given that it is red

d)The card is black, given that it is a club

e)The card is a jack,given that it is red

f)The card is a club,given that it is black