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
Problem
In how many ways can the letters of the word MATHALINO be arranged if the vowels are to come together?
Problem
In how many ways can the letters of the word MATHEMATICS be arranged if the consonants are to come together?
