Question

Two men A and B fire at a target. Suppose P(A) =1/3 and P(B) = 1/5...

Two men A and B fire at a target. Suppose P(A) =1/3 and P(B) = 1/5 denote their probabilities of hitting the target.(We assume that the events A and B are independent) Find the probability that:

a) A does not hit the target

b) Both hit the target

c) One of them hits the target

d) Neither hits the target

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

a) The probability that A does not hit the target is

b) The probability that both hit the target is

c) The probability that one of them hits the target = the probability that A hits the target and B don't + the probability that B hits the target and A don't

The probability that one of them hits the target =

d) The probability that neither hits the target is

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
1. The probability of a man hitting the target at a shooting range is .3. If...
1. The probability of a man hitting the target at a shooting range is .3. If he shoots 10 times, what is the probability that he hits the target exactly twice? 2. The probability of a man not hitting the target at a shooting range is .6. A success is defined as hitting the target. If he shoots 12 times, what is the probability that he misses the target just once? 3. The probability of a man not hitting the...
A and B are two independent events. The probability of A is 1/4 and Probability of...
A and B are two independent events. The probability of A is 1/4 and Probability of B is 1/3. Find the Probabilities Neither A nor B occurs Both A and b occurs Only A occurs Only B occurs At least one occurs
Consider two events, A and B, of a sample space such that P(A) = P(B) =...
Consider two events, A and B, of a sample space such that P(A) = P(B) = 0.7 a).Is it possible that the events A and B are mutually exclusive? Explain. b).If the events A and B are independent, find the probability that the two events occur together. c).If A and B are independent, find the probability that at least one of the two events will occur. d).Suppose P(B|A) = 0.5, in this case are A and B independent or dependent?...
Suppose events A, B, C have the following probabilities: P(A|B) = 1 ／3 , P(C|B) =...
Suppose events A, B, C have the following probabilities: P(A|B) = 1 ／3 , P(C|B) = 23 ／45 , P(A ∩ C|B) = 11 ／45 . Given that B has occurred, a) Find the probability that only C has occurred. b) Find the probability that only A or only C has occurred, but not both. c) Find the probability that A or C has occurred.
Suppose that P(A)=1/2 and P(B)=1/3 Assume that A and B are neither independent nor disjoint, but...
Suppose that P(A)=1/2 and P(B)=1/3 Assume that A and B are neither independent nor disjoint, but that it is known that P(A|B)=1/4. Recalculate the probabilities listed. a. P(A∩B): b. P(A∪B): c. P(A|B): d.P(B|A):
Miss bee has taken up axe throwing. She takes 5 independent throws at the target with...
Miss bee has taken up axe throwing. She takes 5 independent throws at the target with a 0.3 probability of hitting the center on each throw. Calculate the probability that she hits the target exactly 3 times. b)Mr. aiden was inspired by Miss bee and also wanted to give axe throwing a try. He discovers he has a natural aptitude for the hobby and demonstrates that he can hit the target with a 0.5 probability. If he only takes 3...
. Two boys A and B throw a ball at a target. Suppose that the probability...
. Two boys A and B throw a ball at a target. Suppose that the probability that boy A will hit the target on any throw is 1/3 and the probability that boy B will hit the target on any throw is 1/4. Suppose also that boy A throws first and the two boys take turns throwing. Determine the probability that the target will be hit for the first time on the third throw of boy A.
The probability that a gunner hits a certain target is 3/5. The shooter will shoot until...
The probability that a gunner hits a certain target is 3/5. The shooter will shoot until he hits the target 4 times. (NOTE: In this question, random variable should be defined first, distribution and parameters of random variable should be determined. Then all items should be solved using the relevant distribution.) a) Determine the random variable and the distribution of the random variable. Also write the probability function of the random variable. b) Calculate the probability of hitting the 4th...
The probability that a gunner hits a certain target is 3/5. The shooter will shoot until...
The probability that a gunner hits a certain target is 3/5. The shooter will shoot until he hits the target 4 times. (NOTE: In this question, random variable should be defined first, distribution and parameters of random variable should be determined. Then all items should be solved using the relevant distribution.) a) Determine the random variable and the distribution of the random variable. Also write the probability function of the random variable. b) Calculate the probability of hitting the 4th...
(10 pts) Alice and Bob are playing a dart game. Each person shoots 3 times. Assume...
(10 pts) Alice and Bob are playing a dart game. Each person shoots 3 times. Assume all shots are independent and Alice hits the target with probability 0.8 for each shot, while Bob hits the target with probability 0.6. Calculate the probabilities of the following events. (a) Alice hits the target no less than twice. (b) Bob hits the target for the first time in the third shot. (c) Alice hits the target more times than Bob. (d) Alice hits...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT