Can You Solve These Intriguing Probability Puzzles?

[rayukpant]

1. There are 10 adjacent parking places in the parking lot. When you arrive in your new Chevrolet , there are already 7 cars in the lot. What is the probability that you can find two adjacent unoccupied spaces for your Chevrolet?
2. Two persons X and Y take turns as follows for shooting at a target :X,Y,X,Y,X,……….etc. The probability that X hits the target every time he takes a shot is 2/5 and the probability that Y hits is ¼. The probability that Y hits the target before X is p/q. Determine the values of p and q.
3. In how many ways the word MISSISSIPPI be arranged ? In how many ways can they be arranged if the two P's must be separated?(only the solution for second part is needed )
4. Box P has 2 red balls and 3 blue balls while box Q has 3 red balls and 1 blue ball. A ball is selected as follows :(i) select a box (ii) choose a ball from the selected box such that each ball in the box is equally likely to be chosen. The probabilities of the boxes P and Q being selected in the process is red, what is the probability that it came from box P?

 

[gb7nash]

You need to show some level of effort. What have you tried for each problem?

 

[Ray Vickson]

1. There are 10 adjacent parking places in the parking lot. When you arrive in your new Chevrolet , there are already 7 cars in the lot. What is the probability that you can find two adjacent unoccupied spaces for your Chevrolet?
2. Two persons X and Y take turns as follows for shooting at a target :X,Y,X,Y,X,……….etc. The probability that X hits the target every time he takes a shot is 2/5 and the probability that Y hits is ¼. The probability that Y hits the target before X is p/q. Determine the values of p and q.
3. In how many ways the word MISSISSIPPI be arranged ? In how many ways can they be arranged if the two P's must be separated?(only the solution for second part is needed )
4. Box P has 2 red balls and 3 blue balls while box Q has 3 red balls and 1 blue ball. A ball is selected as follows :(i) select a box (ii) choose a ball from the selected box such that each ball in the box is equally likely to be chosen. The probabilities of the boxes P and Q being selected in the process is red, what is the probability that it came from box P?

Have you read the rules for this forum? We don't do homework, and you are required to show some effort.

RGV