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.
T5
T2
H1
T5
H2
T3
H6
H4
H4
T1
H6
H1
T6
T2
T4
T3
H3
H4
H4
T1
Find the probability that a student at Greendale Middle School takes both art and Spanish.
A. Start Fraction 3 over 20 End Fraction
B. two-fifths
C. start fraction 7 over 20 end fraction
D. one-tenth..
To find the probability that a student takes both art and Spanish, we need to count the number of times "T" and a number 1, 2, 3, or 4 appear together in the simulation. We can see that this happens 3 times (T2, T3, T4).
To find the total number of outcomes in the simulation, we count the total number of entries in the table, which is 20.
Therefore, the probability of a student taking both art and Spanish is:
3/20
So the answer is A. Start Fraction 3 over 20 End Fraction.
To find the probability that a student at Greendale Middle School takes both art and Spanish, we need to count the number of outcomes where a student takes both art (T) and Spanish (1, 2, 3, or 4) and divide it by the total number of outcomes.
From the given table, we can see that there are 20 total outcomes.
Now let's count the number of outcomes where a student takes both art and Spanish:
- T1 occurs twice.
- T2 occurs twice.
- T3 occurs twice.
- T4 occurs once.
- T5 occurs twice.
- T6 occurs once.
In total, there are 2 + 2 + 2 + 1 + 2 + 1 = 10 outcomes where a student takes both art and Spanish.
Now we can calculate the probability:
Probability = Number of outcomes where a student takes both art and Spanish / Total number of outcomes
Probability = 10 / 20
Probability = 1/2
Therefore, the probability that a student at Greendale Middle School takes both art and Spanish is 1/2.
Answer: A. Start Fraction 1 over 2 End Fraction