Answer:
The probability is 18.7%
Step-by-step explanation:
The probability of owing a dog is 60% = 6/10
The probability of not owning a dog = 1-probability of owning a dog = 1-6/10 = 4/10
Now, out of five people, we need the probability that at least 2 own a dog.
That is probability that 2, 3, , 4 or even 5 owns a dog
If 2 owns, 3 doesn’t own
The probability here would be;
6/10 * 6/10 * 4/10 * 4/10 * 4/10 = 2,304/100,000
If three owns, this means 2 doesn’t own
The probability here would be
6/10 * 6/10 * 6/10 * 4/10 * 4/10 = 3,456/100,00
If 4 owns, 1 doesn’t own
Probability here is;
6/10 * 6/10 * 6/10 * 6/10 * 4/10 = 5,184/100,000
Lastly if 5 owns, we have
6/10 * 6/10 * 6/10 * 6/10 * 6/10 = 7,776/100,000
The total probability here is thus;
(7776 + 5,184 + 3,456 + 2,304)/100,000 = 18,720/100,000 = 0.1872 or simply 18.72%
To the neatest tenth of a percent, we have 18.7%
