One out of 9 ships is likely to sink, when they are set on sail. When 6 ships are set on sail, the probability that exactly 3 of them will not arrive safely is

Step-by-step solution

Here, p= 1 9 q=1- 1 9 = 8 9 When out of 6 ships exactly 3 will not arrive safely then 3 will arrive safely. So, the required probability is aligned & p= ^6 C₃ p^3 q^3= ^6 C₃ ( 1 9 )^3 ( 8 9 )^3 & = ^6 C₃ 1 9^3 8^3 9^3 p= ^6 C₃ 8^3 9^6 aligned