Question

A card is drawn at random from a well-shuffled deck of playing cards. Find the probability that the card drawn is: (i) a card of spades or an ace (ii) a red king (iii) neither a king nor a queen (iv) either a king or a queen

Answer 1

1)number of possible outcomes
= 13+3
=16
probability of getting a spade or ace
=16/52
=4/13
2)number of possible outcomes=2
probability of getting a red king
=2/52
=1/26
3)number of possible outcomes
=52-4-4
=44
probability of getting neither a king nor queen
=44/52
=11/13
4)number of possible outcomes
=4+4
=8
probability of getting either a king or a queen
=8/52
=2/13

Answer 2

Answer:

total outcomes=52

(i)favourable outcomes=16

p(card of spades or an ace)=16/52=4/13

(ii)favouable outcomes=2

p(a red king)=2/52=1/26

(iii)favourable outcomes=44

p(neither a king nor a queen)=44/52=11/13

(iv)favourable outcomes=8

p(either a king or a queen)=8/52=2/13