Question

One number is chosen at random from the numbers 1 to 50. Find the probability that the number is divisible by 6.
3/25
7/50
9/50
4/25

Answer 1

$\bf{\large{\underline{\red{Question:-}}}}$

One number is chosen at random from the numbers 1 to 50. Find the probability that the number is divisible by 6.

$\rule{400}{2}$

$\bf{\underline{\large{\red{Answer:-}}}}$

Probability: The chances that a certain favourable event will take place from the total number of cases possible is called probability. Probability = $\sf{\frac{Number\: of \:favourable\: events}{Total \:cases \: possible}}$

$\mathtt{\underline{\blue{HERE,}}}$

➠Favourable events = Numbers divisible by 6 [within 1 to 50] = Multiples of 6 [within 1 to 50]

➠Multiples of 6 [within 1 to 50]:-

6 * 1 = 6

6 * 2 = 12

6 * 3 = 18

6 * 4 = 24

6 * 5 = 30

6 * 6 = 36

6 * 7 = 42

6 * 8 = 48

➠Number of favourable events = 8

➠Total cases possible = Numbers from 1 to 50 = 50

➠Probability = $\sf{\frac{Number\: of \:favourable\: events}{Total \:cases \:possible}}$

$\implies$ Probability = $\dfrac{8}{50}$

$\implies$ Probability = $\dfrac{4}{25}$

$\rule{400}{4}$

Answer = $\large{\bf{\boxed{\red{\frac{4}{25}}}}}$