Looking at the ping-pong ball toss board below, whats the probability of landing on a gray square? (Note the board contains 5 rows of 5 squares.)
![Looking at the pingpong ball toss board below whats the probability of landing on a gray square Note the board contains 5 rows of 5 squares class=](https://us-static.z-dn.net/files/d65/5e86d2b86b0cd56ae7ad7f17eb9caa29.png)
Answer:
Option D. [tex]\frac{1}{5}[/tex] is the correct option.
Step-by-step explanation:
Total number of solution sets n(S) (sample space) = 5×5 = 25
(Since a ping-pong ball can land on any block of the toss board so total number of events which can occur will be = 25)
Now preferred events n(E) = 5
(Since number of grey squares where ping-pong ball can land are = 5)
Therefore probability of landing of ping pong ball on a grey square P(E) = [tex]\frac{n(E)}{n(S)}[/tex]
P(E) = [tex]\frac{5}{25}[/tex]
P(E) = [tex]\frac{1}{5}[/tex]
Therefore, Option D. [tex]\frac{1}{5}[/tex] will be the answer.