Answer to Question #197457 in Statistics and Probability for Sherlock

Question

2. An ordinary die is rolled once. Find the probability that

i. An even number occurs

ii. A number greater than 4 occurs

Answer 1

Solution:

$S=\{1,2,3,4,5,6\}$

(i) Let E be the event of getting an even number.

$E=\{2,4,6\}$

$P(E)=\dfrac{3}{6}=\dfrac{1}{2}$

(ii) Let G be the event of getting a number greater than 4.

$G=\{5,6\}$

$P(G)=\dfrac{2}{6}=\dfrac{1}{3}$