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Writing Out The Number of Zeros From 1 - 1,000,000 If you had to write out all the numbers between 1 and 1,000,000 How many zeros would you have to write in total I was given that the answer is 488,895 Can any one show the clearest way possible
determining the number of bits required to represent a number in binary I think you are (rightly) a little confused by the wording of the example in your textbook The example is interpreting the question "how many bits do you need to represent 48 48?" to mean "what is the minimum number of bits needed to represent 48 48?" The lower bound 31 <48 31 <48 is then relevant: and it should be a strict inequality: << not ≤ ≤ So -2 to your textbook!
Expected value of a coin toss - Mathematics Stack Exchange You flip a coin If you get heads you win \\$2 if you get tails you lose \\$1 What is the expected value if you flip the coin 1000 times? I know that the expected value of flipping the coin once i
combinatorics - Probability of winning a prize in a raffle . . . You'll be surprised The correct probability of winning at least one ticket is around 0 2242 0 2242 Assuming exactly one prize is given, your answer of 1160 1 160 is the probability of winning is correct That is, you go home empty-handed with probability 159 160 159 160 However, 40 40 tickets are chosen for prizes, not just one So even if you miss out on a prize the first time, you could
How can find the numbers of digits of power numbers %132 = 3 ? #digits(1000) %133 = 4 ? log(1000) log(10)+1 %134 = 4 000000000000000000000000000 ? If the number is very large and only a bit larger than a power of 10 10, you could also have troubles if the precision is not high enough But for most of the numbers the formula works well and the calculation can be made even with a table calculator
Probabilities Pick 3 Lottery - Mathematics Stack Exchange In a Pick 3 lottery three numbers are drawn from three separate sets of numbers, between 0 and 9 Matching 2 winning numbers, one of them duplicated, can be done in 3 ways, according to all lotteries