Question

If it rains, I do not go sailing. It rains 10%1 of days; I go sailing 3% of days. If it does not rain, what is the (conditional) probability that I go sailing? Written "p(I go sailing | it does not rain)''?

Answer 1

$\huge\sf\pink{Answer}$

☞ Your Answer is 1/3

$\rule{110}1$

$\huge\sf\blue{Given}$

☆ If it doesn't rain I go sailing and it rains 10% of the days

☆ I go sailing 3% of the days

$\rule{110}1$

$\huge\sf\gray{To \:Find}$

✭ Probably of Myself sailing and also the rain doesn't come?

$\rule{110}1$

$\huge\sf\purple{Steps}$

So here, it's given that only 10% of the days is rainly, then there's a remaining of 90%

So then also given that it he goes sailing only 3% then your answer can simply be found by,

➝ $\sf \dfrac{3\%}{90\%}$

➝ $\sf\orange{P_S = \dfrac{1}{3}}$

$\rule{170}3$