A sub fires 4 torpedoes at a ship. each one has a 25% chance of hitting the ship. if at least one hits the ship will sink. what is the probability the ship sinks?

Question

asked Oct 5, 2019 96.7k views

2 Answers

Dougnukem · Answer 1 · 2019-10-11T04:03:02+0000

Solution:

we are given that

A sub fires 4 torpedoes at a ship. each one has a 25% chance of hitting the ship.

Probability that on each fire ship will get hit=0.25

Probability that on each fire , ship will sink
=1-0.25=075

Probability that at least one of the fire will hit the ship
$=1- \text{Probability of no hiting}$

Probability that at least one of the fire will hit the ship
=1-(0.75)^4=0.68359

Hence the required probability is 0.68