This applies when 0 counts too:
10% * 10% * 10% * 10% = 0.01%
And when 0 is not a valid number:
11.11% * 11.11% * 11.11% * 11.11% = 0.015%
A three digit number can be chosen in 9*10*10 = 900ways No. of ways to choose a three digit number without 7 is 8*9*9 = 648 ways probability of picking a three digit number that includes atleast one digit that is 7 is 1- (648/900) = 252/900 = 7/25
It is possible to create a 3-digit number, without repeated digits so the probability is 1.
If 5 is a factor of a number, it means the number is divisible by 5. For the ones digit of the number to be 5, the number must end in 5. Since there are 10 possible digits (0-9), and only one of those digits is 5, the probability of the ones digit being 5 is 1 out of 10, or 1/10.
It is 1/10.
The number of license plates without a repeated letter or digit is 26x25x24x10x9 = 1 404 000. The number of license plates without any restriction is 26x26x26x10x10 = 1 757 600. Probability of a license plate without a repeated letter or digit = 1 404 000 /1 757 600 = 0.7988 Probability of a license plate with a repeated letter or digit = 1-0.7988 = 0.2022
40/50
A three digit number can be chosen in 9*10*10 = 900ways No. of ways to choose a three digit number without 7 is 8*9*9 = 648 ways probability of picking a three digit number that includes atleast one digit that is 7 is 1- (648/900) = 252/900 = 7/25
The probability is 1/2.
The probability is 1/2.
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One out of a thousand^^^This is not quite true. If you must match them in order, then this is correct. However, if order does not matter (i.e. 4-5-6 is the same as 6-4-5), then the probability increases.The reason is that the probability is no longer 1/10*1/10*1/10, since this would assume that all three are unrelated. If order doesn't matter, then 4-5-6 = 6-4-5 = 5-4-6 = ... and so on, and all of these win. Thus, the answer is (all the different ways you can write the 3 digit number)/1000.
It is 4/9
It is 0.45
Well, honey, there are 90 two-digit numbers between 1 and 100, and a total of 100 numbers in that range. So, the probability of picking a two-digit number is 90/100, which simplifies to 9/10. So, the chances are pretty darn high, darling!
.9
8
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