Question

9. In a school contest, each student draws

a number from 1 to 5 at random out
of a large basket. The outcomes are
shown in the table below.
Number Drawn
Number of
Times Drawn
1 2
3 4 5
83 79 88 72 85
Based on the data, what is the
expected probability of drawing a 3?
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Answer 1

expected probability of drawing a 3 :

`\boxed{(8)/(37)}`

Explanation:

The values represented alongside each of the five numbers drawn represent the frequency counts of the draws

The total number of draws = 83+79+88+72+85 = 407

`\text{P(drawing a 3)} = \frac{\ensuremath{\text{\text{Frequency count for 3}}}}{\text{Sum of frequency counts}}=(88)/(407)=(8)/(37)`