An integer is chosen at random from 1 to 50 inclusive. Find the probability that the chosen integer is divisible by 3. 8/25 3/10 3/50

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01-04-2022
Mathematics

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An integer is chosen at random from 1 to 50 inclusive. Find the probability that the chosen integer is divisible by 3. 8/25 3/10 3/50

Sagot :

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ESLearner ESLearner · Answer 1 · 2022-04-01T16:03:49-04:00

How many numbers from 1 to 50 are multiples of 3?

3, 6, 9, 12, 15, 18 .......

Let's change the start and end value of the array and find the number of terms

Start at 3 and go all the way to 48 because those are the first and last multiples of 3 in this array.

There is a formula that allows us to quickly find the number of terms

We subtract the first term from the last term and divide by the amount of increase, then we add 1.

(48 - 3) / 3 + 1 = 16 numbers are exactly divisible by 3.

We have 50 numbers and 16 of them divisible by 3

16 / 50 = 8 / 25 probability

maheshpatelvVT maheshpatelvVT · Answer 2 · 2022-05-05T06:21:03-04:00

The probability that the chosen integer is divisible by 3 is 8/25 if an integer is chosen at random from 1 to 50 inclusive option first is correct.

What is probability?

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

We have the number from 1 to 50.

Total numbers between 1 to 50 or total outcomes = 50

Total favorable outcomes = total number which is divisible by 3

[tex]=\frac{48-3}{3} +1[/tex]

= 15 + 1

= 16

Now probability will be:

= 16/50

= 8/25

Thus, the probability that the chosen integer is divisible by 3 is 8/25 if an integer is chosen at random from 1 to 50 inclusive option first is correct.

Learn more about the probability here:

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Sagot :

What is probability?

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