Question

ms. carta wrote down the names of all of her students on ping pong balls and put them in a bowl. she selects a random ping pong ball from the bowl. the probability that the name on the ball begins with a vowel is 0.2. the probability that the name on the ball is more than four letters long is 0.7. is there enough information to calculate the probability that the name on the ball begins with a vowel or is more than four letters long? select the true statement. yes, the probability that the name on the ball begins with a vowel or is more than four letters long is 0.14. yes, the probability that the name on the ball begins with a vowel or is more than four letters long is 0.9. no, you also need to know the number of ping pong balls in the bowl. no, you also need to know the probability that the name on the ball begins with a vowel and is more than four letters long.

Explanation:

Step1: Record las probabilidades dadas

Sean $P(A)$ la probabilidad de que el nombre empiece con una vocal, $P(A)=0.2$, y $P(B)$ la probabilidad de que el nombre tenga más de cuatro letras, $P(B) = 0.7$.

Step2: Recordar la fórmula de la unión de eventos

La fórmula para $P(A\cup B)$ es $P(A\cup B)=P(A)+P(B)-P(A\cap B)$.

Step3: Analizar la información disponible

No se conoce $P(A\cap B)$, es decir, la probabilidad de que el nombre empiece con una vocal y tenga más de cuatro letras.

Answer:

No, you also need to know the probability that the name on the ball begins with a vowel and is more than four letters long.