A bowl contains pieces of paper with the names of 27 freshman, 33 sophomores, 30 juniors, and 42 seniors. Find the probability of the outcome. Enter your answer as a decimal, rounded to the nearest hundredth.

P(junior or senior) = 0.2

An animal is randomly selected from a group consisting of 5 cats, 11 dogs, and 14 rabbits. Find the probability of the outcome. Enter your answer as a decimal, rounded to the nearest hundredth.

P(cat) = 0.16

Is that correct or no

P(junior or senior) = 72/132 which is definitely not 0.2

P(cat) = 5/30, so yes, 0.167

Ah ok thank you

To determine the probability of an event, we need to divide the number of desired outcomes by the total number of possible outcomes.


In the first scenario:
Total number of students = 27 + 33 + 30 + 42 = 132
Number of juniors and seniors = 30 + 42 = 72
P(junior or senior) = 72/132 ≈ 0.55

Since 0.55 does not equal 0.2, the statement "P(junior or senior) = 0.2" is not correct.

In the second scenario:
Total number of animals = 5 + 11 + 14 = 30
Number of cats = 5
P(cat) = 5/30 = 1/6 ≈ 0.17

Since 0.17 is close to 0.16, the statement "P(cat) = 0.16" can be considered correct (rounded to the nearest hundredth).

To find the probability of an outcome, we need to divide the number of favorable outcomes by the total number of possible outcomes.

For the first example, we need to find the probability of selecting a junior or senior. To do this, we first add the number of junior students (30) to the number of senior students (42), giving us a total of 72 students. Then we divide this by the total number of students (27 + 33 + 30 + 42 = 132) to get the probability:

P(junior or senior) = 72/132 = 0.545 (rounded to the nearest hundredth)

Therefore, the correct answer is 0.55, not 0.20.

For the second example, the probability of selecting a cat is determined by dividing the number of cats (5) by the total number of animals (5+11+14=30):

P(cat) = 5/30 = 0.167 (rounded to the nearest hundredth)

Thus, the correct answer is 0.17, not 0.16.