A die is thrown $100$ times with the frequencies for the outcomes $1, 2, 3, 4, 5$ and $6$ as given in following table:
Outcome 1 2 3 4 5 6
Frequency 13 18 26 17 12 14
If a die is thrown at random, find the probability of getting (i) $1$ (ii) $2$ (iii) $3$ (iv) $4$ (v) $5$ (vi) $6$ .

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Solution

Probability of an event $= \frac{N o . o f t i m e s t h e e v e n t i s o c c u r r i n g}{T o t a l n o . o f t r i a l s}$

(i) Probability of getting $1 = \frac{13}{100} = 0.13$

(ii) Probability of getting $2 = \frac{18}{100} = \frac{9}{50} - 0.18$

(iii) Probability of getting $3 = \frac{26}{100} = \frac{13}{50} = 0.26$

(iv) Probability of getting $4 = \frac{17}{100} = 0.17$

(v) Probability of getting $5 = \frac{12}{100} = \frac{3}{25} = 0.12$

(vi) Probability of getting $6 = \frac{14}{100} = 0.14$ .

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