A die rolled 150 times and it outcome are recorded below : Find probability of getting : 1. An odd number 2. Multiple of 4

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Solution

Total number of times a die is rolled = 150
Total number of possible outcomes = 150
1. The frequency of odd numbers from the given set of data:
Number of times '1' appears = 25
Number of times '3' appears = 15
Number of times '5' appears = 32
$P (a n o d d n u m b e r) = \frac{n u m b e r o f f a v o r a b l e o u t c o m e s}{T o t a l n u m b e r o f p o s s i b l e o u t c o m e s}$
$P = \frac{25 + 15 + 32}{150}$
$P = \frac{72}{150}$
2. A multiple of 4
Number of times '4' appears = 28
$P (a n o d d n u m b e r) = \frac{n u m b e r o f f a v o r a b l e o u t c o m e s}{T o t a l n u m b e r o f p o s s i b l e o u t c o m e s}$
$P = \frac{28}{150}$

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