A bag contains eleven balls labeled 1 through 11. One ball will be randomly picked. What is the probability of picking a multiple of 3? Write your answer as a fraction in simplest form.​

Answer:

3, 6, 9 (the multiples of three within 11)

3 out of 11 numbers are multiples of 3

so you have a 3 out of 11 probability to grab a multiple of three

3/11 is your answer

Step-by-step explanation:

Probability of picking a ball of multiple of 3 is equals to (3/11).

" Probability is a mathematical expression which represents the ratio of number of favourable outcomes to the total number of outcomes."

Formula used

Probability = [tex]\frac{Number of favourable outcomes}{Total number of outcomes}[/tex]

According to the question,

'B' represents the ball

Possible outcomes = { B₁, B₂, B₃, ...., B₁₀, B₁₁}

favourable outcomes multiple of 3 = { B₃, B₆, B₉}

Total number of outcomes= 11

Number of favourable outcomes = 3

Substitute the value in the formula we get,

Probability of picking ball multiple of 3 = ( 3 / 11)

Hence, probability of picking a ball of multiple of 3 is equals to (3/11).

Learn more about probability here

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GROCERY STORE
JIM'S HOUSE
20
19
18
17
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15
14
13
12
11
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9
8
7
6
5
4
3
2
1
0
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0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
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