Q.4. Two dice are
thrown find the
probability of the
following events
(3m)
(1) The sum of the
numbers are their
upper faces is
divisible by 9
(2) The sum of the
numbers on their
upper faces is at
the most 3
(3) The number on the
upper face of the
first die is less
than the number on
the upper face of
the second die
Answers
Answered by
2
Answer:
Two dice are thrown
∴ Sample space
S={(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),(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),(6,3),(6,4),(6,5),(6,6)}
∴n(S)=36
(1) A={(4,6),(5,5),(5,6),(6,4),(6,5),(6,6)}
n(A)=6
Probability, P(A)=
n(S)
n(A)
=
36
6
=
6
1
(2) B={(1,4),(2,3),(3,2),(4,1),(4,6),(5,5),(6,4)}
n(B)=7
Probability, P(B)=
n(S)
n(B)
=
36
7
(3) C={(2,1),(3,1),(3,2),(4,1),(4,2),(4,3),(5,1),(5,2),(5,3),(5,4),(6,1),(6,2),(6,3),(6,4),(6,5)}
n(C)=15
Probability, P(C)=
n(5)
n(C)
=
36
15
Answered by
0
Answer:
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