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Q.

Suppose we throw a die once. What is the probability of getting a number less than or equal to 4?

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a

1 6  

b

2 3  

c

1 3  

d

3 4   

answer is B.

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Detailed Solution

Give that a die is thrown.
We need to find the probability of getting a number less than or equal to 4.
Probability of an event E is defined as:
P(E)=Number of favorable outcomesTotal number of possible outcomes
When a die is thrown, we have 6 total possible outcomes i.e.,
1,2,3,4,5,6  
Numbers less than or equal to 4 are: 1, 2, 3 and 4.
Hence, the number of favorable outcomes is 4.
Let E   be the event that the number is less than or equal to 4.
Now, the probability of getting a number less than or equal to 4 is:
P(E)= 4 6 P(E)= 2 3  
The probability of getting a number less than or equal to 4 is 2 3  .
Therefore, option 2 is correct.
 
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