Question

number is selected at random from the numbers 2,4, 4, 6, 6, 6, 8, 8, 8, 8. The probability that the selected number is their average is is​

Answer 1

Answer:

0.3

Step-by-step explanation:

Average = $\frac{2+4+4+6+6+6+8+8+8+8}{10}$= $\frac{60}{10}=6$

A = selecting 6

favorable outcomes = m = 3

total outcomes = n = 10

P(A) = m / n = 3 / 10 = 0.3

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Answer 2

Given:

A set of numbers 2,4,4,6,6,6,8,8,8,8.

To Find:

The probability that the selected number is the average of the given set of numbers.

Solution:

1. The given set of numbers are 2,4,4,6,6,6,8,8,8,8.

2. The average of the given set of numbers can be calculated using the formula,

average = ( sum of each of the entries)/( total number entries).

=> average = ( 2+4+4+6+6+6+8+8+8+8)/(10).

=> average = (60)/10,

=> average = 6.

3. The probability that the selected number is their average implies the probability that the selected number is 6. The Probability of an event can be calculated by using the formula,

=> The Probability of an event = ( Favorable cases) / (total number of cases).

=> Probability ( the selected number is 6) = ( Total amount of the numbers having 6 as their value)/( Total amount of numbers),

=> Probability (the selected number is 6) = (3/10),

=> P(the selected number is 6) = 0.3.

Hence the probability that the selected number is their average is 0.3.