All face cards are removed from a well shuffled deck of 52 cards and then one card is drawn randomly from the remaining cards. Find the probability of getting :
(a) neither a heart nor a king (b) neither an ace nor a king
(c) neither a red card nor a queen card
(d) a black card or an ace.
(e) either a heart or a spade card
(f) a red card
(g) a black card
(h) a spade card
(i) a diamond card
(j) a club card
(k) either an ace card or black card
(l) an ace card
(m)a face card with red colour
(n) neither ‘10’ card nor an ace
(o) an even number card
(p) an odd number 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:
5213+524−521=5216=134
(ii) Probability of the card drawn is a black king:
Total black kings: 2
Probability of the card drawn is a black king:
522=261
(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:
1−524+4=1311
(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:
524+4=132
Step-by-step explanation:
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