Problem
The number of cars passing a point on a road may be modelled by Poisson distribution. At an average, 4 cars enters the Caibaan Diversion Road in Tacloban City every 5 minutes. Find the probability that in a 5-minute period (a) two cars go past and (b) fewer than 3 cars go past.
The number of occurrences in a given time interval or in a given space can be modeled using Poisson Distribution if the following conditions are being satisfied:
The Poisson distribution is defined as
where x is a discrete random variable
Problem
A family chosen at random has 5 children. What is the probability that...
Problem
A cat takes 4 leaps to a dog's 3; but 2 of the dog's leaps are equivalent to 3 of the cat’s. The cat has a start of 50 leaps. How many leaps must the dog take to catch the cat?
Problem
A certain businessman, who is always in a hurry, walks up an ongoing escalator at the rate of one step per second. Twenty steps bring him to the top. Next day he goes up at two steps per second, reaching the top in 32 steps. How many steps are there in the escalator?
| A. 80 | C. 50 |
| B. 60 | D. 70 |
Problem
In a 5-card poker hand, what is the probability that all 5 are of the same suit?
| A♥ | A♦ | A♣ | A♠ |
| 2♥ | 2♦ | 2♣ | 2♠ |
| 3♥ | 3♦ | 3♣ | 3♠ |
| 4♥ | 4♦ | 4♣ | 4♠ |
| 5♥ | 5♦ | 5♣ | 5♠ |
| 6♥ | 6♦ | 6♣ | 6♠ |
| 7♥ | 7♦ | 7♣ | 7♠ |
| 8♥ | 8♦ | 8♣ | 8♠ |
| 9♥ | 9♦ | 9♣ | 9♠ |
| 10♥ | 10♦ | 10♣ | 10♠ |
| J♥ | J♦ | J♣ | J♠ |
| Q♥ | Q♦ | Q♣ | Q♠ |
| K♥ | K♦ | K♣ | K♠ |
Probability
For outcomes that are equally likely to occur:
If the probability of an event to happen is p and the probability for it to fail is q, then
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