sean surveyed some students at his school about which elective each one planned to take. ceramics 6 band 5…

sean surveyed some students at his school about which elective each one planned to take. ceramics 6 band 5 orchestra 4 dance 15 choir 3 what is the experimental probability that a randomly selected student plans to take dance? simplify your answer and write it as a fraction or whole number. p(dance) =

sean surveyed some students at his school about which elective each one planned to take. ceramics 6 band 5 orchestra 4 dance 15 choir 3 what is the experimental probability that a randomly selected student plans to take dance? simplify your answer and write it as a fraction or whole number. p(dance) =

Answer

Explanation:

Step1: Find total number of students

Add the number of students in each elective: $6 + 5+4 + 15+3=33$.

Step2: Calculate probability of choosing dance

The number of students choosing dance is 15. Probability formula is $P(A)=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. So $P(\text{dance})=\frac{15}{33}$.

Step3: Simplify the fraction

Divide both numerator and denominator by 3: $\frac{15\div3}{33\div3}=\frac{5}{11}$.

Answer:

$\frac{5}{11}$