09
Acord is drawn ct randons from well-shuffled pack
of s2 playing cards find the probability that the
card is
D A Spade
2 not of diamond
3 a face card
Answers
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:
52
13
+
52
4
−
52
1
=
52
16
=
13
4
(ii) Probability of the card drawn is a black king:
Total black kings: 2
Probability of the card drawn is a black king:
52
2
=
26
1
(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−
52
4+4
=
13
11
(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:
52
4+4
=
13
2