Question

Let S be the sample space of the random experiment of throwing simultaneously two unbiased dice and Ek={(a,b)∈S:ab=k}. If Pk=P(Ek), then the correct among the following is

• A. p1<p10<p4
• B. p2<p8<p14
• C. p4<p8<p17
• D. p1<p10<p4

Answer 1

Answer: (A)

p1<p10<p4

Answer 2

The sample space, denoted as S, consists of all possible outcomes when rolling two six-sided dice. Each outcome is represented as (x, y), where x and y can take values from 1 to 6. Therefore, the sample space S includes (1,1), (1,2), ..., (1,6), (2,1), ..., (2,6), ..., (6,1), ..., and (6,6).

The total number of elements in the sample space is calculated as 6^2, which equals 36.

The probability of getting the specific outcome (1,1) is 1 out of the total number of elements in the sample space, which is 36.

So, p(1,1) = 1/36.

The correct answer is option (A): p1<p10<p4