John is playing a game of darts. the probability that he throws a dart into the center of the dart board (the bull’s eye) is 1/10. the probability that he throws the dart into the 10-point ring is 3/10.
what is the probability that he either hits a bull’s eye or scores 10 points?
a. 1/3
b. 2/3
c. 3/5
d. 2/5
e. 1/4

The correct option is (d).

Step-by-step explanation: Given that John is playing a game of darts. The probability that he throws a dart into the centre of the dart board (the Bull’s eye) is and the probability that he throws the dart into the 10-point ring is

We are to find the probability that he either hits a Bull’s eye or scores 10 points.

Let, 'A' and 'B' represents the events that John throws the dart into a Bull's eye and 10-point ring respectively.

Then, according to the given information, we have

Since John cannot throw the dart into the Bull's eye and 10 point ring together, both the events are independent of each other.

Therefore,

From the theorems of probability, we have

Therefore, the probability that John either hits a Bull’s eye or scores 10 points is

Thus, (d) is the correct option.

10% of increase is the final answer! : )