Three archers each have an equal chance of hitting a target, and if only two of the three shoot the likelihood of the two hitting the target is 4/9 . What is the likelihood of all three men missing the target?
Choose the correct option
A) 1/27	B) 16/81	C) 8/27	D) 19/27	E) 26/27
Let the probability of an archer hitting a target be xx. Then the probability of two hitting the target will be P=x∗x=49P=x∗x=49 --&gt; x=23x=23, so the probability of an archer missing the target will be P=1−23=13P=1−23=13.   The probability of all three men missing the target will be P=(13)3=127P=(13)3=127.   1/27nswer: 1/27.
<result>A</result>
Three archers each have an equal chance of hitting a target, and if only two of the three shoot the likelihood of the two hitting the target is 4/9 . What is the likelihood of all three men missing the target?