If two unbiased dice are rolled, what is the probability of getting points neither 6 nor 9 ?
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The size of the sample space is 6×6=36 . How many ways can a 6 or a 9 be obtained? List the outcomes that give 6 or 9 :
six: ( 1 , 5 ), ( 2 , 4 ), ( 3 , 3 ), ( 4 , 2 ), ( 5 , 1 ). That’s 5 ways.
nine: ( 3 , 6 ), ( 4 , 5 ), ( 5 , 4 ), ( 6 , 3 ). That’s 4 ways.
∴ P(getting 6 or 9 )
= 5+436=936=14
P(getting neither 6 nor 9 )
= 1 - P(getting 6 or 9 ) = 1−14=34
This probability can be expressed as 75 %
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