MCQ
A rectangular box contains 20 cards having numbers from 1 to 20 respectively. A card is drawn at random. The probability that the number on the card is a prime number is:
- ✓$\frac{2}{5}$
- B$\frac{3}{5}$
- C$\frac{4}{5}$
- D1
✓
Answer
Correct option: A.
$\frac{2}{5}$
(a) $\frac{2}{5}$
Explanation:
Sample space, $n(S)=20$
and favourable outcomes $( E )=\{2,3,5,7,11,13,17,19\}$
$\therefore n( E )=8$
$\therefore P ( E )=\frac{n( E )}{n(S)}=\frac{8}{20}=\frac{2}{5}$.
Explanation:
Sample space, $n(S)=20$
and favourable outcomes $( E )=\{2,3,5,7,11,13,17,19\}$
$\therefore n( E )=8$
$\therefore P ( E )=\frac{n( E )}{n(S)}=\frac{8}{20}=\frac{2}{5}$.
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