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2019 WAEC Further Mathematics Theory Two fair dice are thrown together two times. Find the probability of obtaining a sum...

Further Mathematics
WAEC 2019

Two fair dice are thrown together two times. Find the probability of obtaining a sum of seven in the first throw and a sum of four in the second throw. 

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Explanation
+ 1 2 3 4 5 6
1 2 3 4 5 6 7
2 3 4 5 6 7 8
3 4 5 6 7 8 9
4 5 6 7 8 9 10
5 6 7 8 9 10 11
6 7 8 9 10 11 12

 

P(a sum of 7) = \(\frac{6}{36}\) and P(a sum of 4) = \(\frac{3}{36}\)

P(a sum of 4) = \(\frac{3}{36}\) 

P(a sum of 7 and a sum of 4) = \(\frac{6}{36} \times \frac{3}{36}\) = \(\frac{1}{72}\) 


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