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Simple and Compound Event

Two dice are ...

Question

Two dice are thrown at the same time. What is the probability that the sum of two numbers appearing on the top of the dice is (i) $8$ (ii) less than or equal to $12$

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Solution

(i) 8
Total number of outcomes $= 36$
Probability that sum of two numbers is 8 $= \frac{N o . o f o u t c o m e s w h e r e s u m i s 8}{T o t a l n o . o f o u t c o m e s}$
$= \frac{5}{36}$

(ii) Less than or equal to 12
Total number of outcomes $= 36$
Probability that sum of two numbers is less than or equal to 12 $= \frac{N o . o f o u t c o m e s w h e r e s u m i s l e s s t h a n o r e q u a l t o 12}{T o t a l n o . o f o u t c o m e s}$
$= \frac{36}{36}$
$= 1$

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