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You think of a number from the first thirty negative integers. What is the probability that the integer chosen will be divisible by 5?

Respuesta :

Answer:

1/6

Step-by-step explanation:

The numbers -5, -10, -15, -20, -25, and -30 are divisible by 5.

The required probability is [tex]\dfrac{1}{5}[/tex].

Important information:

  • Choose a number from the first thirty negative integers.

Probability:

First thirty negative integers are -1, -2, -3, ......, -30.

So, the number of total outcomes is 30.

First thirty negative integers divisible by 5 are -5, -10, -15, -20, -25, -30.

So, the number of favorable outcomes is 6.

Now, the probability that the integer is chosen will be divisible by 5 is:

[tex]P=\dfrac{6}{30}[/tex]

[tex]P=\dfrac{1}{5}[/tex]

Therefore, the required probability is [tex]\dfrac{1}{5}[/tex].

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