Question

The spinner is divided into 10 equal sections.

Which event has theoretical probability of exactly 1/5? Select three options.


spinning a number less than 3

spinning a 4 or 5

spinning an odd number

spinning a number greater than 8

spinning a number less than 8

Answer 1

spinning a 4 or 5, spinning a number less than 3, spinning a number greater than 8

Explanation:

The spinner has 10 spaces, if we took a 4/5 (2) and made it into a fraction (2/10) then simplified is (1/50---Less than 3, so that means not 3 itself either, so a 1 or a 2, so (2/10), then simplify it, (1/5)--- Greater than 8, so not 8 itself, so 9 or a 10 (2/10) then simplified, (1/5)

Answer 2

A, B and D

Explanation:

Total numbers on spinner=10

We have to find the event that has theoretical probability of exactly 1/5.

A.Spinning a number less than 3

Number less than 3 = 1 and 2

Favorable cases=2

Probability,P(E)=
`(favorable\;cases)/(total\;number\;of\;cases)=(2)/(10)=(1)/(5)`

Hence,It is true.

B.Spinning a 4 or 5

Favorable cases=2

Probability ,P(E)=
`(2)/(10)=(1)/(5)`

Hence,It is true.

C.Spinning odd number

favorable cases=1,3,5,7,9=5

Probability,=
`(5)/(10)=(1)/(2)`

D.Spinning a number greater than 8

Number greater than 8=9 and 10

Favorable cases=2

Probability ,P(E)=
`(2)/(10)=(1)/(5)`

Hence,It is true.

E.Spinning a number less than 8

Number less than 8=7

Probability,P(E)=
`(7)/(10)`

Option A, B and D are true.