Choose a natural number between 1 and 100, inclusive. What is the probability that the number chosen is not a multiple of 4? (Enter the probability as a fraction.)
I tried that and it was the wrong answer.
Tried what?
NONE ANSWER I DON'T KNOW IT I'M NOT TAUGHT THAT
I think it may be 19/25 because P(not multiple of 4 ) = 1 - P( multiple of 4)
and we have 24 multiple of 4 between 1 and 100, inclusive. Then, we have:
P(not multiple of 4 ) = 1 - (24/100) = 76/100 = 19/25
I think it may be 19/25 because P(not multiple of 4 ) = 1 - P( multiple of 4)
and we have 25 multiple of 4 between 1 and 100, inclusive. Then, we have:
P(not multiple of 4 ) = 1 - (25/100) = 75/100 = 3/4
To find the probability that a number chosen between 1 and 100, inclusive, is not a multiple of 4, we need to determine the number of numbers in the range that are not divisible by 4 and divide it by the total number of possible outcomes.
First, let's find out the total number of possible outcomes. In this case, it is the count of natural numbers between 1 and 100, inclusive, which is 100 (since there are 100 numbers in the range).
Next, we need to determine the number of outcomes that are not divisible by 4. We can think of this as counting the numbers in the range that leave a remainder when divided by 4. Since numbers divisible by 4 have a remainder of 0 when divided by 4, we just need to count the numbers that leave a remainder of 1, 2, or 3 when divided by 4.
To determine this count, we can write out the numbers that satisfy this condition: 1, 2, 3, 5, 6, 7, 9, 10, 11, 13, 14, 15, 17, 18, 19, 21, 22, 23, 25, 26, 27, 29, 30, 31, 33, 34, 35, 37, 38, 39, 41, 42, 43, 45, 46, 47, 49, 50, 51, 53, 54, 55, 57, 58, 59, 61, 62, 63, 65, 66, 67, 69, 70, 71, 73, 74, 75, 77, 78, 79, 81, 82, 83, 85, 86, 87, 89, 90, 91, 93, 94, 95, 97, 98, 99.
Counting them, we find that there are 75 outcomes that are not divisible by 4.
Finally, to calculate the probability, we divide the number of outcomes that are not divisible by 4 (75) by the total number of possible outcomes (100).
Therefore, the probability that the number chosen is not a multiple of 4 is 75/100, which simplifies to 3/4.
1/4 of the numbers are a multiple of 4.
That help?