a card is drawn at random from a well shuffled pack of 52 cards find the probability that the drawn card is
1.a card of spade
2.either a king or a queen
3.neither a jack or nor a queen
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Answers
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
hope it helps u mate.........
Answer:
1)1/4 2)2/13 3)11/13
Step-by-step explanation:
1) A card of spade
Total outcomes= 52(total number of cards)
Favorable outcomes= {(1 of spade)(2 of spade)(3 of spade)(4 of spade)(5 of spade)(6 of spade)(7 of spade)(8 of spade)(9 of spade)(10 of spade)(Jack of spade)(1]Queen of spade)(King of spade)}=13
Therefore the probability is (Favorable outcomes)/ Total outcomes=13/52=1/4
2. either a king or queen
Total outcomes= 52(total number of cards)
Favorable outcomes= {(Queen of spades)(Queen of diamond)(Queen of heart)(Queen of clubs)(King of spades)(King of clubs)(King of diamond)(King of heart)}=8
Therefore the probability is (Favorable outcomes)/ Total outcomes=8/52=2/13
3.neither a jack nor a queen
Total outcomes= 52(total number of cards)
Favorable outcomes= Total outcomes- non favorable outcomes
Non favorable outcomes={(Queen of spades)(Queen of diamond)(Queen of heart)(Queen of clubs)(Jack of spades)(Jack of clubs)(Jack of diamond)(Jack of heart)}=8
Probability=(Total outcomes-non favorable outcomes)/total outcomes= 44/52=11/13