One-half of the students at Greendale Middle School take art. Two-thirds of the students take Spanish. Deshawn uses a coin and a standard number cube as a simulation of the students at Greendale Middle School.
Deshawn lets “T” represent a student taking art and “H” represent a student not taking art. He lets the numbers 1, 2, 3, and 4 on the number cube represent a student taking Spanish, and the numbers 5 and 6 represent a student not taking Spanish. The table shows the results of Deshawn’s simulation.
Here's what the table supposed to look like:
T5; T2; H1; T5; H2
T3; H6; H4; H4; T1
H6; H1; T6; T2; T4
T3; H3; H4; H4; T1
1. Find the probability that a student at Greendale Middle School takes both art and Spanish.
A.3/20
B.2/5
C.7/20 <- I'm thinking...
D.1/10
2. Find the probability that a student at Greendale Middle School takes neither art nor Spanish.
A.3/20
B.2/5
C.7/20
D.1/10 <- I'm thinking
...
1. To find the probability that a student takes both art and Spanish, we need to look for the number of times we see a "T" followed by a number from 1-4 in the table. We count 2 total occurrences, out of 20 possible outcomes. Therefore, the probability is:
2/20 = 1/10
So the answer is D. 1/10.
2. To find the probability that a student takes neither art nor Spanish, we need to look for the number of times we see an "H" followed by a 5 or 6 in the table. We count 3 total occurrences, out of 20 possible outcomes. Therefore, the probability is:
3/20
So the answer is A. 3/20.