Question

Find the probability that a point X, selected randomly on line LQ, is on the given segment.
1)Line LM
2)line NP
3)line OQ
4)line MQ

Answer 1

its upside down sorry about that

Answer 2

The probability would be the ratio of the segment lengths to the total.
Let
\[S_{AB} = The\ length\ of\ a\ segment\ from\ A\ to\ B\]
\[P_{AB} = The\ probability\ for\ a\ random\ point\ to\ be\ on\ the\ segment\ AB\]
\[ \rightarrow P_{LM} = S_{LM}/S_{LQ}\]
\[ \rightarrow P_{NP} = S_{NP}/S_{LQ}\]
\[ \rightarrow P_{OQ} = S_{OQ}/S_{LQ}\]
\[ \rightarrow P_{MQ} = S_{MQ}/S_{LQ}\]
etc.

Answer 3

The probability of x being on a line segment is the length of the segment divided by the total length of the line. Which part of this is confusing?

Answer 4

so the first one would be 2/17

Answer 5

Nearly. 2 is the length of LM, but the length of LQ is not 17.

Answer 6

so 2/24

Answer 7

Yes.

Answer 8

Np=12/24
OQ= 12/24
MQ= 19/24

Answer 9

MQ is 22 units in length. Otherwise those numbers are correct.

Answer 10

okay thank you