Question

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?

Answer 1

1/256. because it would be 1/4*1/4*1/4*1/4.

Hope this helps!

Answer 2

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