A fair die is rolled. The events $E_1, \dots, E_5$ are defined as follows:
$E_1$: an even number is obtained;
$E_2$: an odd number is obtained;
$E_3$: a score of less than 2 is obtained; note: is score a key word hinting tossing the die twice?
$E_4$: a 3 is obtained;
$E_5$: a score of more than 3 is obtained;
Find: $P(E_1 \cap E_3)$, and also $P(E_3 \cap E_5)$
The Book's solutions (which I do not understand) is:
$P(E_1 \cap E_3)=0$ likelihood,
$P(E_3 \cap E_5)= 0$ likelihood.
How come? And thanks.