| Topic | Problem | Solution |
|---|---|---|
| None | A single die is rolled twice. The 36 equally-like… | A single die is rolled twice. The 36 equally-likely outcomes are shown to the right. |
| None | You select a family with four children. If $\math… | Define the set of equally likely outcomes for the children's genders as [FFFF, FFFM, FFMF, FMFF, MF… |
| None | A fair coin is tossed 3 times in succession. The … | The set of equally likely outcomes when a fair coin is tossed 3 times in succession is \(\{\mathrm{… |
| None | You are dealt one card from a standard 52-card de… | The problem is asking for the probability of drawing a nine and a king from a standard 52-card deck… |
| None | In how many ways can a person order one ice cream… | We are given a problem where a person can order one ice cream cone with 3 different flavors of ice … |
| None | How many distinct permutations can be formed usin… | The word 'BASEBALL' has 8 letters, with the letter 'B' appearing twice, the letter 'A' appearing tw… |
| None | A signal can be formed by running different color… | This problem is a permutation problem with repetition. We have 8 flags in total, with 3 white flags… |
| None | How many distinct permutations can be formed usin… | The word 'CONNECTION' has 10 letters, with the letter 'N' appearing 3 times, the letter 'O' appeari… |
| None | Use the formula for ${ }_{n} P_{r}$ to evaluate t… | We are given the expression ${ }_{6} P_{3}$ and we are asked to evaluate it. |
| None | Which of the following polynomial funciton formul… | The standard form of a polynomial function is written with the terms in descending order by degree.… |
| None | If $\theta=\frac{-11 \pi}{6}$, then \[ \sin (\the… | The given angle is \(\theta = \frac{-11\pi}{6}\). |
| None | Evaluate the factorial expression. \[ \frac{23 !}… | The factorial of a number n, denoted as n!, is the product of all positive integers less than or eq… |
| None | Find the principal root of this equation: \[ \sin… | The principal root of the equation \(\sin(x) = -\frac{1}{2}\) is the value of \(x\) for which the s… |
| None | Suppose that you borrow $\$ 16,000$ for three yea… | Given that the principal amount of the loan (P) is $16,000, the annual interest rate (r) is 6% or 0… |
| None | How much should you deposit at the end of each mo… | Given that the future value (FV) is $3 million, the monthly interest rate (r) is 7.5% / 12 / 100, t… |
| None | At the age of 29 , to save for retirement, you de… | Given that the monthly deposit is $40, the annual interest rate is 6% or 0.06 in decimal form, the … |
| None | How much money should be deposited today in an ac… | We are given the future value (FV), the interest rate (r), the number of compounding periods per ye… |
| None | In order to start a small business, a student tak… | Given that the principal amount (P) is $6000, the rate of interest (R) is 11% or 0.11 in decimal fo… |
| None | The principal $P$ is borrowed at a simple interes… | Given that the principal $P = \$5000$, the annual interest rate $r = 7.5\% = 0.075$ (converted from… |
| None | A marble jar contains a total of 164 marbles. The… | The problem involves a jar of 164 marbles with different colors. The frequency of each color is as … |
Here you can find problems in different subjects and step-by-step solutions provided by Solvely, including problems from mathematics, physics, chemistry and other subjects, covering different knowledge points. These problems help you understand and learn knowledge points, such as geometry, algebra, equations, fractions, and exponents, etc. If you have problems that you want to solve, you can also download Solvely to get step-by-step answers.