Question

Two different dice are rolled together. Find the probability of getting: (i) The sum of numbers on two dice to be 5. (ii) Even numbers on both dice.

Answer 1

here's your answer buddy

Answer 2

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$\bold{To\:find\:the\:sum\:of\:5}$

When the two dices are thrown, then the sample space S consists of...

(1,1),(1,2),(1,3),(1,4),(1,5),(1,6),(2,1),(2,2),(2,3),(2,4),(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)

Total no. of sample space n(S)= 36

1)The events getting two no. whose sum is 5...

n(E)= 4

(1,4),(4,1),(3,2),(2,3)

$\bold{probability}$

= n(E)/n(S)

= 4/36

= 1/9

2)Even no.... E(n)=9

(2,2),(2,4),(2,6),(4,2),(4,4),(4,6),(6,2),(6,4),(6,6)

$\bold{Probability}$

=n(E)/n(S)

=9/36

=1/4

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