Question

10. A six faced die is so biased that it is twice as likely to show an even number as an odd. It is thrown twice. What is the probability that the sum of the numbers is even?
a) 1/3 b) 2/3 c) 5/9
d) 6/11; 10. A six faced die is so biased that it is twice as likely to show an even number as an odd. It is thrown twice. What is the probability that the sum of the numbers is even?; a) 1/3 b) 2/3 c) 5/9; d) 6/11

Answer 1

Step-by-step explanation:

probability for odd =p

∴ probability for even =2p

∵ p+2p=1

⇒3p=1

⇒p=

3

1

∴ probability for odd =

3

1

, probability for even=

3

2

Sum of two no. is even means either both are odd or both are even

∴ required probability =

3

1

×

3

1

+

3

2

×

3

2

=

9

1

+

9

4

=

9

5