if p(not yellow) = 4/15, which best describes the probability of the complement of the event? p(yellow) =…

if p(not yellow) = 4/15, which best describes the probability of the complement of the event? p(yellow) = 8/15 p(yellow) = 11/15 p(not yellow) = 8/15 p(not yellow) = 11/15

if p(not yellow) = 4/15, which best describes the probability of the complement of the event? p(yellow) = 8/15 p(yellow) = 11/15 p(not yellow) = 8/15 p(not yellow) = 11/15

Answer

Explanation:

Step1: Definir la regla de probabilidad complementaria

La probabilidad de un evento $A$ y la probabilidad de su complemento $\text{not }A$ suman 1, es decir $P(A)+P(\text{not }A)=1$. Aquí, el evento $A$ es "yellow" y $\text{not }A$ es "not yellow".

Step2: Despejar $P(yellow)$

Tenemos $P(\text{not yellow})=\frac{4}{15}$, entonces $P(yellow)=1 - P(\text{not yellow})$. Sustituyendo el valor de $P(\text{not yellow})$: $P(yellow)=1-\frac{4}{15}=\frac{15 - 4}{15}=\frac{11}{15}$.

Answer:

P(yellow) = $\frac{11}{15}$