Question

Two dice are rolled together. Find the probability of getting a doublet or sum of faces as

4.​

Answer 1

Answer:

The probability of getting a doublet or sum of faces is 1/3.

Answer 2

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 a doublet and

total of 6 is P(A∩B)={(3,3)}=1/36

probability of getting a doublet or a

total of 6=P(A∪B)=P(A)+P(B)−P(A∩B)

=6/36+5/36−1/36

=10/36=5/18