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Q.

Harpreet tosses two different coins simultaneously (say, one is of ₹ 1 and other of ₹ 2). What is the probability that she gets at least one head?

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a

1 4   

b

3 5  

c

3 4  

d

2 9  

answer is C.

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Detailed Solution

Given that Harpreet tosses two coins simultaneously.
We need to find the probability that she gets at least one head.
Probability of an event E is defined as:
P(E)=Number of favorable outcomesTotal number of possible outcomes
The possible outcomes are:
(HH),(HT),(TH),(TT)  
The total number of posible outcomes is 4.
According to question, favorable outcomes is to receive at least one head are:
(HH),(HT),(TH)  
Hence, the total number of favorable outcomes is 3.
Let E   be the event that at least 1 head is received while tossing two coins.
Now, the probability of receiving at least 1 head is:
P E = 3 4  
The probability of getting at least one head is 3 4  .
Therefore, option 3 is correct.
 
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