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Q.

One card is drawn from a well shuffled deck of 52 cards. Find the probability of getting a black card.

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a

1 4  

b

3 2  

c

1 2  

d

3 4   

answer is B.

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Detailed Solution

Given that a card is drawn at random from a pack of 52 playing cards.
We need to find the probability that the card drawn is a black card.
Probability of an event E is defined as:
P(E)=Number of favorable outcomesTotal number of possible outcomes
A deck of cards contains 52 cards in it, that are 13 spade cards, 13 heart cards, 13 diamond cards and 13 club cards.
Therefore, the total number of possible outcomes is 52.
There are a total of 26 black cards in the whole pack of cards.
Therefore, the total number of favorable outcomes is 26.
Let E   be the event that the card drawn is a black card.
Now, the probability of getting a card which is a black card is:
P(E)= 26 52  
⇒P(E)= 1 2  
Thus, the probability of getting a card which is a black card is 1 2  .
Therefore, option 2 is correct.
 
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One card is drawn from a well shuffled deck of 52 cards. Find the probability of getting a black card.