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a circular board of radius 1 foot is at a distance of 20 feet from you. you throw a dart at it hits the dartboard at some point Q in the circle. what is the probability that Q is closer to the center of the circle than the periphery?
a)0.75
b)1
c)0.25
d)0.5
Read Solution (Total 7)
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- their are four condition.
first---throw dart outside of circle
second--throw dart on peri of circle
third--throw dart near to radi of circle
four--on the radi..
so ans===(1/4) ==.25 - 13 years agoHelpfull: Yes(5) No(0)
- suppose a smaller circle of half radius inside the arger circle,
then the required probaaility is given as=(area of smaller circle)/(area of larger circle)
so that
prob=(pi*(r/2)^2)/(pi*r^2)
=1/4
=0.25 - 13 years agoHelpfull: Yes(5) No(0)
- we know that
probability=favourable/unfavourable,
favourable case= when dart hits upto 12 radius
unfavourable case=total radius of circle
probability= [pi*(12)^2]/[pi*(1)^2]
= 1/4=0.25 - 13 years agoHelpfull: Yes(1) No(0)
- for this (1/2)*(1/2) so answer is .25 .... if this question s asked for closer to perriphery thn answer will be 0.75
- 13 years agoHelpfull: Yes(0) No(0)
- it will be closer to center if it made half radius o the circle means 1/2 foot.
probability
= (1/2)^2 / 1^2 =1/4 =.25 :) - 13 years agoHelpfull: Yes(0) No(0)
- answer is 0.25
probability of hitting the board is 1
probability of falling near to center is (pi*(r/2)^2) / (pi*(r)^2)
since inner area = pi * (r/2)^2
total area = pi * r^2 - 13 years agoHelpfull: Yes(0) No(1)
- radius of smaller circle to radius of larger circle
i.e (1/2)2/(1/2)=0.25 - 13 years agoHelpfull: Yes(0) No(1)
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