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What is the difference between utmost, at most in probability

Dear Student,

Please find below the solution to the asked query:

Utmost = The greatest or most extreme extent or amount.

At most = not more than

So, If given find the probability of getting utmost number on the dice ,  So That means probability of getting number " 6 " .

Or

If given find the probability of getting at most 6 on the dice ,  So That means probability of getting number " 1 , 2 , 3 , 4 , 5 ,6 " .
Hope this information will clear your doubts about probability .

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lets have an example:

in a box, I have 52 normal, unbiased playing cards. there is only a narrow opening and the inside of the box cannot be seen. the box is nicely shaken and the cards are jumbled.

I take 4 cards from the box.

Find the probability of getting:
1) at most 1 queen
Here they mean that out of the 4 cards I picked, there must be 1 queen at maximum 

2) At least 1 queen
here they mean that at minimum, we must get 1 queen as a minimum
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