Respuesta :
Answer:
B. [tex]\frac{25}{64}[/tex]
Step-by-step 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 [tex]\frac{10}{16}[/tex] 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:
[tex]P(\text{The point is not on KL)}=1-\text{probability that point is on KL}[/tex]
[tex]P(\text{The point is not on KL)}=1-\frac{\text{Total points on KL}}{\text{Total points on JM}} [/tex]
[tex]P(\text{The point is not on KL)}=1-\frac{(8-2)}{16} [/tex]
[tex]P(\text{The point is not on KL)}=1-\frac{6}{16} [/tex]
[tex]P(\text{The point is not on KL)}=\frac{16-6}{16} [/tex]
[tex]P(\text{The point is not on KL)}=\frac{10}{16} [/tex]
[tex]\text{The probability of getting 1st point on Jl and second point is not on KL}=\frac{10}{16}\times \frac{10}{16}[/tex]
[tex]\text{The probability of getting 1st point on Jl and second point is not on KL}=\frac{5}{8}\times \frac{5}{8}[/tex]
[tex]\text{The probability of getting 1st point on Jl and second point is not on KL}=\frac{25}{64}[/tex]
Therefore, our desired probability will [tex]\frac{25}{64}[/tex] and option B is the correct choice.
Answer: The answer is A. 15/64
Step-by-step explanation:
I got it right! Have a good day!
