Respuesta :
Answer:
0.4 = 40% probability that a toy that Raymond picks out of a box is plush given that it is a dinosaur.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Dinosaur
Event B: Plush.
The probability that a toy Raymond picks out of a box is a dinosaur is 75%.
This means that [tex]P(A) = 0.75[/tex]
The probability that a toy Raymond picks out of a box is both plush and a dinosaur is 30%.
This means that [tex]P(A \cap B) = 0.3[/tex]
What is the probability that a toy that Raymond picks out of a box is plush given that it is a dinosaur?
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.3}{0.75} = 0.4[/tex]
0.4 = 40% probability that a toy that Raymond picks out of a box is plush given that it is a dinosaur.
