Question
Find the probability that a number selected at random from the numbers $1, 2, 3, ....., 35$ is a:
- Prime number.
- Multiple of $7.$
- A multiple of $3$ or $5.$
✓
Answer
Total no. of possible outcomes $= 35 {1, 2, 3, ..... 35}$
Probability, $\text{P(E)}=\frac{\text{No. of favorable outcomes}}{\text{Total no. of possible outcomes}}=\frac{11}{35}$
$\text{P(E)}=\frac{5}{35}=\frac{1}{7}$
$\text{P(E)}=\frac{16}{35}$
- E → event of getting a prime no.
Probability, $\text{P(E)}=\frac{\text{No. of favorable outcomes}}{\text{Total no. of possible outcomes}}=\frac{11}{35}$
- E → event of getting no. which is multiple of $7$
$\text{P(E)}=\frac{5}{35}=\frac{1}{7}$
- E → event of getting no which is multiple of $3$ or $5$
$\text{P(E)}=\frac{16}{35}$
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