Question

Two dice are thrown simultaneously
What is the probability of getting same
number (doublet) on both die?​

Answer 1

Hi friend,

Total outcomes when rolling 2 dice =36

Probability of getting doublet=P(A)= { (1,1) (2,2) (3,3) (4,4) (5,5) (6,6)}=6/36

Probability of getting  sum as 6=P(B)={ (1,5) (2,4) (3,3) (4,2) (5,1)}=5/36

Probability of getting both sum as 6 and also a doublet =P(A∩B)={(3,3)}=1/36

 

So,probability of getting a doublet or a total of 6 is calculated using addition theorem of probability 

P(A∪B)=P(A)+P(B)-P(A∩B)

            =6/36+5/36-1/35=11/36-1/36=10/36=5/18

HOPE THIS HELPS.....

Answer 2

Answer:

=2/36

=1/18

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