Question

You are given one 6 sided dice and an 8 sided dice. The 8 sided die is loaded such that the probability of an even
even roll is twice that of an
odd roll
Find the probability of getting the same number on both dice if both dice are rolled.​

Answer 1

Answer:

1/8

Step-by-step explanation:

Probability of 1 to 6

= 1/6

in 8 sided dice

let say Probability of each odd number = A

then each even number = 2A

4A + 4 *2A = 1

=> 12A = 1

=> A = 1/12

Probability of 1 , 3  , 5 = 1/12

Probability of 2 , 4 , 6  = 1/6

probability of getting the same number on both dice

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

= (1/6) (1/12)  + (1/6)(1/6)  + (1/6)(1/12)  + (1/6)(1/6)  + (1/6)(1/12)  + (1/6)(1/6)

= 9/72

= 1/8

probability of getting the same number on both dice if both dice are rolled.​ = (1/8)

Answer 2

Answer:

Step-by-step explanation: