Question

Line segment JM has endpoints with coordinates -2 and 14 on a number line. Points K and L are on segment JM. K has a coordinate of 2 and point L has a coordinate of 8. Find the probability that a point on JM is placed first on JL and a second point is not placed on KL.

5/8

25/64

8/15

15/64

please help
Anybody!!

Answer 1

Answer: The answer is A. 15/64

Explanation:

I got it right! Have a good day!

Answer 2

B.
`(25)/(64)`

Explanation:

Please find the attachment.

We have been given that line segment JM has endpoints with coordinates -2 and 14 on a number line. Points K and L are on segment JM. K has a coordinate of 2 and point L has a coordinate of 8.

The probability that the first point is positioned on JL would be
`(10)/(16)` as there are total 10 points on JL as L is at point 8 and J is at point -2 so (8--2=8+2=10). Total number of points on the number line JM is (14--2=14+2=16)

The probability that second point is not placed on KL would be:

`P(\text{The point is not on KL)}=1-\text{probability that point is on KL}`

`P(\text{The point is not on KL)}=1-\frac{\text{Total points on KL}}{\text{Total points on JM}}`

`P(\text{The point is not on KL)}=1-((8-2))/(16)`

`P(\text{The point is not on KL)}=1-(6)/(16)`

`P(\text{The point is not on KL)}=(16-6)/(16)`

`P(\text{The point is not on KL)}=(10)/(16)`

`\text{The probability of getting 1st point on Jl and second point is not on KL}=(10)/(16)* (10)/(16)`

`\text{The probability of getting 1st point on Jl and second point is not on KL}=(5)/(8)* (5)/(8)`

`\text{The probability of getting 1st point on Jl and second point is not on KL}=(25)/(64)`

Therefore, our desired probability will
`(25)/(64)` and option B is the correct choice.