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# A die is tossed twice. A is the event 'the sum of the two numbers uppermost is 4 or more', B the event 'the sum of the two numbers uppermost is less than 6', C the event 'the two numbers uppermost are the same'.Find the probability of these events.(a) AB (b) AC (c) BC (d) ABC(e) A UB  (f) A U C (g) B U C (h) A U B U C.

30 Points
10 years ago

the sample space is {11,12,13,14,15,16. 21,22,23,24,25,26,31,32,33,34,35,36,41,42,43,44,45,46,51,52,53,54.55.56.61,62,63,64,65,66}

thus A=  {13,14,15,16.22,23,24,25,26,31,32,33,34,35,36,41,42,43,44,45,46,51,52,53,54.55.56.61,62,63,64,65,66}

and B={11,12,13,14,21,22,23,31,32,41}

C={11,22,33,44,55,66}

THUS PROBABILITY FOR OCCURRENCE OF ALL THREE EVENTS=A U B