6.Acard is drawn at random from a well shuffled pack of cards. Find the probability that the card drawn
is (a) spade or ace (b) neither king nor queen (c) either king or queen.
Answers
Answer:
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
Step-by-step explanation:
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Step-by-step explanation:
spade or ace 13+3/52=16/52=4/13
neither king nor queen (1-2/13)=11/13
either king or queen 4+4/52=8/52=2/13