from a pack of 52 cards ,4 cards _ queen of heart , ace of spades 10 of club and Jack of diamond have been removed. A card is drawn at random, find the probability that the card is (a) A red card (b) a face card (c) a spade
Answers
A pack has 52 cards
13 hearts , 13 clubs 13 spade and 13 diamonds
There are 26 black and 26 red cards
There are 12 face cards ( 3 in each)
Four cards are removed.
So total cards 48
12 hearts , 12 clubs,12 spades and 12 diamonds
24 red and 24 black cards
10 face cards remain.
Given that
a) P(red card) = total number of red cards / total number of cards
P(red card) = 24 / 48 = 1/2
b) P(face card) = total number of face cards/total number of cards = 10/48 = 5/24
c) P(a spade) =total of spades/ total number of cards = 12/48 = 1/4
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@spyder
Answer:
a) 1/2
b) 5/24
c)1/4
Step-by-step explanation:
Total number of cards = 48 ...... (52-4)
probability of an event = no. of outcomes of event / Total no. of outcomes.
a) No. of red cards after the removal of the 4 cards : 24 ..... (26 - 2)
P(A) = 24/48 = 1/2
b) No. of face cards = 12.... after the removal of the cards : 10
P(B) = 10/48 = 5/24
c) No. of spades = 13 ....... after the removal : 12
P(C) = 12/48 = 1/4
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