Respuesta :
The probability is 7/41.
We are looking for
P(multiple of 6 given 2 digit) = P(2 digit & multiple of 6)/P(2 digit)
There are 7 2-digit numbers that are multiples of 6 between 1 and 50, out of 50 numbers; P(2 digit & multiple of 6) = 7/50
There are 41 2-digit numbers out of 50; P(2 digit) = 41/50
This gives us 7/50 ÷ 41/50 = 7/50 × 50/41 = 7/41
We are looking for
P(multiple of 6 given 2 digit) = P(2 digit & multiple of 6)/P(2 digit)
There are 7 2-digit numbers that are multiples of 6 between 1 and 50, out of 50 numbers; P(2 digit & multiple of 6) = 7/50
There are 41 2-digit numbers out of 50; P(2 digit) = 41/50
This gives us 7/50 ÷ 41/50 = 7/50 × 50/41 = 7/41
The probability is the ratio of the favorable event to the total number of events. Then the probability that it is a multiple of 6 is 0.16 or 16%.
What is probability?
Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen.
A bucket contains 50 lottery balls numbered 1-50. One is drawn at random.
Total event = 50
Favorable event = 8 {6, 12, 18, 24, 30, 36, 42, 48}
Then the probability will be
[tex]\rm P = \dfrac{8}{50}\\\\P = 0.16\\\\P = 16\%[/tex]
More about the probability link is given below.
https://brainly.com/question/795909
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