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what is the probability that the number chosen is multiple of of 3 given that is it a factor of 24

Sagot :

jacobEwing

Answer:

You have a 50% chance of picking a multiple of 3.

Step-by-step explanation:

If we include 1 and 24 as factors of 24, then the possible choices would be:

1, 2, 3, 4, 6, 8, 12, 24

Of those, the only ones that are multiples of 3 are 3, 6, 12 and 24.  Meaning that the chance of getting a multiple of 3 is 4/8, or 1/2, i.e. 50%

If we don't include 1 and 23, then we have:

2, 3, 4, 6, 8, 12

and 3, 6 and 12 are divisible by 3.

Which again gives 1/2, or 50%

So regardless of whether 1 and 24 are included, the chance of picking a multiple of three from the factors of 24 is 50%.

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