Paulina plays both volleyball and soccer. The probability of her getting injured playing volleyball is 0.1. The probability of her getting injured playing soccer is [tex]\frac{1}{10}[/tex].

Which of these events is more likely?

A. Paulina gets injured playing volleyball.
B. Paulina gets injured playing soccer.
C. Neither. Both events are equally likely.



Answer :

To determine which event is more likely, we need to compare the probabilities of Paulina getting injured while playing volleyball and soccer.

1. Probability of getting injured playing volleyball:
The given probability is 0.1.

2. Probability of getting injured playing soccer:
The given probability is [tex]\(\frac{1}{10}\)[/tex].

First, observe that the probability of getting injured playing soccer [tex]\(\frac{1}{10}\)[/tex] can be converted to decimal form:
[tex]\[ \frac{1}{10} = 0.1 \][/tex]

Now, let's compare the two probabilities:

- Probability of getting injured in volleyball = 0.1
- Probability of getting injured in soccer = 0.1

Since both probabilities are equal (0.1 = 0.1), neither event is more likely than the other.

Therefore, the answer is:
(C) Neither. Both events are equally likely.