Probability topic

Question

two dices are thrown simultaneously and getting a number less than 3 on a dice is termed as success. Obtain the probability distribution p(X) such as X=1

 

(a)1/9
(b)2/9
(c)3/9
(d)4/9

(e)1/3

Answer 1

Not sure what you mean by "probability distribution p(X) such as X=1", but if you are trying to find the probability that both numbers are less than 3 it is given by  

 

P(First Die < 3) * P(Second Die < 3)  

 

since they are independent events  

 

P(First Die < 3) = 2/6 since there are 2 chances to get a number less than 3 (1 or 2) out of 6 possible numbers 

P(Second Die < 3) is also equal to 2/6  

 

So the probability that both numbers are less than 3 is  

 

(2/6) * (2/6) = (1/3) * (1/3) = 1/9