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dalvyx [7]
3 years ago
10

Let an integer be chosen at random from the integers 1 to 30 inclusive. Find the probability that the integer chosen is divisibl

e by 3.
Mathematics
2 answers:
Natalka [10]3 years ago
8 0
There are 30 total integers. 10 of these will be divisible by 3 (all multiples of 3 between 3 and 30). So the probability of getting an integer evenly divisible by 3 is \dfrac{10}{30}=\dfrac13.
Vikki [24]3 years ago
4 0

Answer:

probability that the integer chosen is divisible by 3 is  \frac{1}{3}.

Step-by-step explanation:

Given : An integer be chosen at random from the integers 1 to 30 inclusive.

To find  : Find the probability that the integer chosen is divisible by 3.

Solution : We have integers 1 to 30.

We need to find probability that the integer is divisible by 2.

We know that multiple of 3 is divisible by 3

All multiple of 3 from 1 to 30 ( 3,6,9,12,15,18,21,24,27,30)

Total multiple of 3 from  1 to 30 =  10 .

Probability = \frac{Favourble\ outcome}{Total\ number\ of\ outcome}

Probability = \frac{10}{30}

Probability =  \frac{1}{3}.

Therefore, probability that the integer chosen is divisible by 3 is  \frac{1}{3}.

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