In a group of 24 pupils, 13 play the flute only. 2 play the piano only. 1 plays both instruments. A student is chosen at random. What is the probability the student plays neither instrument?

The probability the student plays neither instrument is 33.3%

Step-by-step explanation:

Probability is the greater or lesser possibility of a certain event occurring. In other words, probability establishes a relationship between the number of favorable events and the total number of possible events. Then, the probability of any event A is defined as the quotient between the number of favorable cases (number of cases in which event A may or may not occur) and the total number of possible cases.  

The total number of pupils who play at least one instrument is:

13 + 2 + 1 = 16

The means there are 24 - 16 = 8 pupils who play neither of the instruments.

So you know:

Replacing in the definition:

P(A)= 0.333= 33.3%

The probability the student plays neither instrument is 33.3%

i believe the answer to be 48

step-by-step explanation:

9.55 degrees.

step-by-step explanation:

the given angle is

1 cycle is equal to 2π radians. so 4π will be equal to two cycles.

5.166667π-4π = 1.166667π

hence, this angle goes a little more than negative x axis.

1.166667π-π= 0.166667π

hence, the reference angle is 0.166667π radians.

1 radian = 57.2958 degrees

now, in degrees, this should be equals to 9.55 degrees.