Question

one card is drawn at random from 52 cards find the probability that the card drawn is King a spade Red queen a black 8 a Queen a black card a face card​

Answer 1

Answer:

There are 52 cards in total.

Hence, total Outcomes =52

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

Total cards of Spade =13

Total Aces =4

Number of Aces of Spade =1

Therefore,

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

13/52 + 4/52 - 1/52 = 16/52 = 4/13

(ii) Probability of the card drawn is a black king:

Total black kings: 2

Probability of the card drawn is a black king:

2/52 = 1/26

(iii) Probability of the card drawn is neither a jack nor a king

Total jacks =4

Total Kings =4

Probability of the card drawn is neither a jack nor a king:

1 - 4+4/52 = 11/13

(iv) Probability of the card drawn is either a king or a queen:

Total Queens =4

Total Kings =4

Probability of the card drawn is either a king or a queen:

4+4/52 = 2/13