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: Recall probability formula

The formula for $P(A\cup B)$ is $P(A\cup B)=P(A)+P(B)-P(A\cap B)$. Here, let $A$ be the event that the name begins with a vowel and $P(A) = 0.2$, and $B$ be the event that the name is more than four - letters long and $P(B)=0.7$.

Step2: Analyze given information

We are given $P(A)$ and $P(B)$, but we do not know $P(A\cap B)$ (the probability that the name begins with a vowel and is more than four - letters long).

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.