A die is thrown once. Find the probability of getting

(i) a prime number. (ii) a number divisible by 2

Asked by Topperlearning User | 8th Nov, 2017, 01:34: PM

Expert Answer:

begin mathsize 12px style Sample space space space equals space open curly brackets 1 comma 2 comma 3 comma 4 comma 5 comma 6 close curly brackets
straight n left parenthesis straight S right parenthesis space equals space 6
Let space straight A space be space the space event space that space getting space prime space number.
straight A equals open curly brackets 2 comma 3 comma 5 close curly brackets
straight n left parenthesis straight A right parenthesis equals 3
straight P left parenthesis straight A right parenthesis equals 3 over 6 equals 1 half


Let space straight B space be space the space event space space that space getting space straight a space number space divisible space by space 2.
straight B equals open curly brackets 2 comma 4 comma 6 close curly brackets
straight n left parenthesis straight B right parenthesis equals 3
straight P left parenthesis straight B right parenthesis equals 3 over 6 equals 1 half end style

Answered by  | 8th Nov, 2017, 03:34: PM