Question

Six hunters saw a fox and fired at the same time. Suppose that each of the...

Six hunters saw a fox and fired at the same time. Suppose that each of the hunters can hit the fox in this distance in 1 out of 3 cases. What is the probability that the fox will be hunted down?

Homework Answers

Answer #1

6 hunters saw a fox and fired at the same time.

Suppose that each of the hunters can hit the fox in the given distance, in 1 out of 3 cases.

This means, each hunter has a chance 1/3, of hunting the fox down.

So, the chance that any of these 6 hunters cannot hunt the fox down, is 1-1/3, ie. 2/3.

Now, we have to find the probability that the fox will be hunted down.

This event is complementary to the event that the fox won't be hunted down; which means all 6 hunters miss their shots.

So,

P(The fox will be hunted down)

=1-P(The fox survives)

=1-P(All 6 hunters miss)

So, the probability that the fox will be hunted down, is 0.9122.

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A projectile is fired from the ground (you can assume the initial height is the same...
A projectile is fired from the ground (you can assume the initial height is the same as the ground) in a field so there are no obstacles in its way. The same projectile was then fired in the same way toward a wall that is a horizontal distance (d) m from where the projectile was fired, and the projectile (as it's going down) hit the wall. If the wall were slightly farther from where the projectile was launched (the projectile...
A space probe has two engines. Each generates the same amount of force when fired, and...
A space probe has two engines. Each generates the same amount of force when fired, and the directions of these forces can be independently adjusted. When the engines are fired simultaneously and each applies its force in the same direction, the probe, starting from rest, takes 37.8 s to travel a certain distance. How long does it take to travel the same distance, again starting from rest, if the engines are fired simultaneously and the forces that they apply to...
A space probe has two engines. Each generates the same amount of force when fired, and...
A space probe has two engines. Each generates the same amount of force when fired, and the directions of these forces can be independently adjusted. When the engines are fired simultaneously and each applies its force in the same direction, the probe, starting from rest, takes 40.2 s to travel a certain distance. How long does it take to travel the same distance, again starting from rest, if the engines are fired simultaneously and the forces that they apply to...
Are we influenced to buy a product by an ad we saw on TV? Suppose that...
Are we influenced to buy a product by an ad we saw on TV? Suppose that the National Infomercial Marketing Association surveyed 50,000 buyers of products. They were interested in how many times a buyer watched a TV infomercial before purchasing the product. Their results are seen below: Number of times Buyers Saw Infomercial 1 2 3 4 5 or more* Frequency of Buyers 13500 15500 9000 4500 7500 * This last category was really 5 or more, but we...
The probability that Sergeant Fernandez hits its target each time he shoots is 0.6. Suppose that...
The probability that Sergeant Fernandez hits its target each time he shoots is 0.6. Suppose that Sergeant Mendez shoots at a target 20 times. a. Argue that this is a binomial experiment. b. Find the probability he hits the target 3 times. c. What is the probability he hits his target at least 7 times? d. What is the expected number of shots that hit the target. e. What is the standard deviation of the number of shots that hit...
For each time up at bat, a baseball player has a 70% chance of making an...
For each time up at bat, a baseball player has a 70% chance of making an out, a 10% chance of getting walked, and a 20% chance of getting a hit. Estimate the probability that, out of 5 at-bats, the player gets at least one hit. Use 40 simulation runs. Can you please help solve, with step by step 1
Suppose a baseball player has a 0.2 probability of getting a hit in each time at-bat....
Suppose a baseball player has a 0.2 probability of getting a hit in each time at-bat. DESCRIBE the SHAPE, MEAN, and STANDARD DEVIATION of the sampling distribution of the proportion of times the player gets a hit after 36-at-bats.
Three friends saw a robbery happen (Y, X, and Z). Each friend can do one of...
Three friends saw a robbery happen (Y, X, and Z). Each friend can do one of the following: call the police or not, and they each decide simultaneously. If nobody calls they each get a payoff of 0. If anyone calls, the person who calls gets a payoff of 2/3 while the others get a payoff of 1. a) Find the symmetric Nash equilibrium. b) Assume N people saw the robbery. Find the symmetric Nash Equilibrium. Find the probability that...
Suppose again that you’re watching the fox in the previous homework (who had a 1 in...
Suppose again that you’re watching the fox in the previous homework (who had a 1 in 3chance of being successful on any given hunt), but now you’re going to record the number of successes she enjoys in the next 10 hunts she engages in. Assume these hunts are independent of each other. Let X be the number of successful hunts she executes in her next 10 attempts.What is the distribution of X? What is the expected value of this r.v.(random...
1. Two identical eggs were thrown at the same time from the top of a building...
1. Two identical eggs were thrown at the same time from the top of a building of height 100 m at a speed 20. One egg was thrown at an angle 40° above the horizontal while another was thrown at the same angle but below the horizontal. How long does it take for the other egg to hit the ground after the one of the eggs hits the ground? Does the time difference between the eggs hitting the ground depend...