Question

Biased dice is number from 1 to 6 when this biased dice is rolled the probability of getting a number is proportional to the number itself if the dice is rolled what is the probability of getting an even number

Answer 1

Answer: The probability of getting an even number is 4/7.

Step-by-step explanation:

Given that

The probability of getting a number is proportional to the number itself.

So,

P(1)=1*k

P(2)=2*k

P(3)=3*k

P(4)=4*k

P(5)=5*k

P(6)=6*k

where k is proportionality constant.

We know, the total probability is equal to 1

So,

k+2k+3k+4k+5k+6k=1

21k=1

K=1/21

Probability of getting an even number= P(2)+P(4)+P(6)

=> 2k+4k+6k=12k

=> 12*1/21=4/7