Webster Aquatic Center offers various levels of swimming lessons year-round. The March 2005 Monday and Wednesday evening lessons included instructions from Water Babies through Adults. The number in each classification is given in the table that follows.
Swim Lesson Types
No. of Participants
Water Babies
4
Tiny Tots
16
Tadpoles
3
Level 2
5
Level 3
16
Level 4
5
Level 5
7
Level 6
1
Adults
17
Total
74
(a) If one participant is selected at random, find the probability that the participant is in Tiny Tots. (Give your answer correct to two decimal places.)
(b) If one participant is selected at random, find the probability that the participant is in the Adults lesson. (Give your answer correct to two decimal places.)
(c) If one participant is selected at random, find the probability that the participant is in a Level 2 to Level 6 lesson. (Give your answer correct to two decimal places.)
a. 16/74 = ?
b. 17/74 = ?
c. (5+16+5+7+1)/74 = ?
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A. 0.2162
B.0.2297
C.0.4595
To find the probability in this case, you need to understand the concept of probability and how it is calculated.
Probability is a measure of the likelihood of an event occurring. It is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.
In this scenario, we are given the number of participants in each swim lesson type. To find the probabilities, we need to divide the number of participants in a particular swim lesson type by the total number of participants.
Let's calculate the probabilities for each question:
(a) Probability of selecting a participant from the Tiny Tots lesson:
The number of participants in the Tiny Tots lesson is 16.
Total number of participants is 74.
Probability = Number of participants in Tiny Tots lesson / Total number of participants
= 16 / 74
≈ 0.22
Therefore, the probability of selecting a participant from the Tiny Tots lesson is approximately 0.22.
(b) Probability of selecting a participant from the Adults lesson:
The number of participants in the Adults lesson is 17.
Total number of participants is 74.
Probability = Number of participants in Adults lesson / Total number of participants
= 17 / 74
≈ 0.23
Therefore, the probability of selecting a participant from the Adults lesson is approximately 0.23.
(c) Probability of selecting a participant from a Level 2 to Level 6 lesson:
The sum of participants in Level 2 to Level 6 lessons is 5 + 16 + 5 + 7 + 1 = 34.
Total number of participants is 74.
Probability = Sum of participants in Level 2 to Level 6 lessons / Total number of participants
= 34 / 74
≈ 0.46
Therefore, the probability of selecting a participant from a Level 2 to Level 6 lesson is approximately 0.46.