An archer fires six arrows independently at a target
MATHEMATICS · Multi-part · AP · AP Statistics · Probability Random Variables Distributions · Probability Random Variables Distributions
Problem
An archer fires six arrows independently at a target. The probability that any particular arrow hits the centre is 0.7.
Provide detailed calculations for the following:
(i) Find the probability that all six arrows hit the centre.
(ii) Compute the probability that at least one arrow misses the centre.
(iii) Calculate the probability that at least four arrows hit the centre.
(iv) Show that the events in parts (i) and (ii) are complementary and hence confirm that their probabilities add to 1.