Question

1. alberto surveyed the students in his homeroom and asked if they were studying spanish, french, both, or neither. the probability that a student is studying both spanish and french is 0.16, the probability that a student is studying spanish is 0.64, and the probability that a student is studying french is 0.4. what is the probability that a student is studying french, given that the student is studying spanish? 0.25 0.333 0.32 0.80 clear all

Explanation:

Step1: Recuerda la fórmula de probabilidad condicional

La fórmula de probabilidad condicional es $P(A|B)=\frac{P(A\cap B)}{P(B)}$. En este caso, queremos encontrar la probabilidad de que un estudiante estudie francés dado que estudia español, es decir $P(F|S)=\frac{P(F\cap S)}{P(S)}$.

Step2: Identifica los valores dados

Se nos dice que $P(F\cap S) = 0.16$ (probabilidad de estudiar francés y español) y $P(S)=0.64$ (probabilidad de estudiar español).

Step3: Calcula la probabilidad condicional

Sustituimos los valores en la fórmula: $P(F|S)=\frac{0.16}{0.64}=\frac{16}{64}= 0.25$.

Answer:

0.25