Question

Captain Ishaan has a ship, the H.M.S Crimson Lynx. The ship is four furlongs from the dread pirate Michael and his merciless band of thieves.
If his ship hasn't already been hit, Captain Ishaan has probability \dfrac{2}{5}
5
2
​
start fraction, 2, divided by, 5, end fraction of hitting the pirate ship. If his ship has been hit, Captain Ishaan will always miss.
If his ship hasn't already been hit, dread pirate Michael has probability \dfrac{3}{8}
8
3
​
start fraction, 3, divided by, 8, end fraction of hitting the Captain's ship. If his ship has been hit, dread pirate Michael will always miss.
If the Captain and the pirate each shoot once, and the Captain shoots first, what is the probability that both the Captain and the pirate hit each other's ships?

Answer 1

Captain Ishaan has a ship, the H.M.S Crimson Lynx. The ship is four furlongs from the dread pirate Michael and his merciless band of thieves.

If his ship hasn't already been hit, Captain Ishaan has probability \dfrac{2}{5}

5

2

​

start fraction, 2, divided by, 5, end fraction of hitting the pirate ship. If his ship has been hit, Captain Ishaan will always miss.

If his ship hasn't already been hit, dread pirate Michael has probability \dfrac{3}{8}

8

3

​

start fraction, 3, divided by, 8, end fraction of hitting the Captain's ship. If his ship has been hit, dread pirate Michael will always miss.

If the Captain and the pirate each shoot once, and the Captain shoots first, what is the probability that both the Captain and the pirate hit each other's ships?

Answer

The probability is 9/40

Step-by-step explanation:

Captain Ishaan shoots first.  This would mean that his ship has not been hit, and this means he has a 2/5 chance of hitting the pirate's ship.  It also means he has a 1-2/5 = 3/5 chance of missing the pirate ship.

Since Captain Ishaan misses, dread pirate Michael has a 3/8 chance of hitting the captain's ship.  This means he has a

3/5(3/8) = 9/40 chance of the captain missing the pirate and the pirate hitting the captain.

9/40

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Answer 2

Answer:

3/10

Step-by-step explanation:

2/5*1= 2/5

2/5*0=0

2/5+2/5=4/5

4/5*3/8=12/40

simplify

3/10