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# A3answers - Assignment 3 1 A Two balanced dice are rolled...

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1 Assignment 3 1. A) Two balanced dice are rolled to see the number of dots facing up. Find the probability of observing i) six dots on both the dice. ii) six dots on the first die or six dots on the second die. (1,1),(1,2),(1,3),(1,4),(1,5),(1,6) (2,1),(2,2),(2,3),(2,4),(2,5),(2,6) (3,1),(3,2),(3,3),(3,4),(3,5),(3,6) Sample Space= (4,1),(4,2),(4,3),(4,4),(4,5),(4,6) (5,1),(5,2),(5,3),(5,4),(5,5),(5,6) (6,1),(6,2), ­½ °° ®¾ ¯¿ (6,3),(6,4),(6,5),(6,6)

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2 B) Two fair dice are rolled and the number of the dots facing up are added. Find the probability That the sum is 8 given that both the dice have odd number of dots on the top face. ( ),(1,2),( ),(1,4),( ),(1,6) (2,1),(2,2),(2,3),(2,4),(2,5),(2,6) ( ),(3,2),( ),(3,4),( ),( 1,1 1,3 1,5 3,1 3,3 3,5 5 3,6) (4,1),(4,2),(4,3),(4,4),(4,5),(4,6) ( ),(5,2),( ),(5,4),( ),(5,6) (6,1),(6,2),(6,3), ,1 5,3 5,5 (6,4),(6,5),(6,6) ­½ °° ®¾ ¯¿ 3 0 P o i n t s
3 2. An auto insurance agency was in investigating accident rates for drivers in different age groups. The following contingency provides a joint probability distribution for drivers by age group and the accident rate. 1 483 . 0 284 . 0 233 . 0 ) ( 062 . 0 018 . 0 018 . 0 026 . 0 ) (A 1 225 . 0 089 . 0 066 . 0 070 . 0 ) (A 1 713 . 0 376 . 0 200 . 0 137 . 0 ) (A 0 ) ( ) ( 45 ) ( 45 25 ) (G 25 Under years past three in accidents of Number Group Age 2 1 0 3 2 1 i i G P A P G Over G " 0

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A3answers - Assignment 3 1 A Two balanced dice are rolled...

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