A number cube is rolled three times. What is the probability of rolling a number less than 3 each time?

Answers

Answer 1

Answer:

Final answer:

The probability of rolling a number less than 3 three times in a row on a number cube (or die) is 1/27.

Explanation:

The subject of this question is probability in mathematics. A number cube, often referred to as a die, has six faces numbered 1 through 6. If we are looking for the probability of rolling a number less than 3, we are looking for the probability of rolling a 1 or a 2. Out of six possibilities, two are successful outcomes (1 and 2), so the probability of rolling a number less than 3 in one roll is 2 out of 6, or 1/3.

However, since the number cube is rolled three times, we have to consider this probability for each roll. In probability, when we want to find the likelihood of multiple events all occurring, we multiply the probabilities of each individual event. Therefore, the probability of rolling a number less than 3 three times in a row is (1/3) * (1/3) * (1/3) = 1/27.

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Answer 2

Answer:

Answer:

8/27

Step-by-step explanation:

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Plz i need help tomorrow is my test

Answers

1) You are correct.
2) You are correct.
3) $3^(7)$ : 3 × 3 × 3 × 3 × 3 × 3 × 3 = 2187
4) $10^(6)$ : 10 × 10 × 10 × 10 × 10 × 10 = 100000
5) 20 = $2^(2)$ × 5
6) 50 = 2 × $5^(2)$

The measurement of radioactive decay can be useful tool in things such as Carbon-dating. For a carbon sample with mass 500kg and a half life of 5,730 years, calculate the remaining mass after 20,000years.

Answers

$\bf \textit{Amount for Exponential Decay using Half-Life} \n\n A=P\left( (1)/(2) \right)^{(t)/(h)}\qquad \begin{cases} A=\textit{accumulated amount}\n P=\textit{initial amount}\dotfill &500\n t=\textit{elapsed time}\dotfill &20000\n h=\textit{half-life}\dotfill &5730 \end{cases} \n\n\n A=500\left( (1)/(2) \right)^{(20000)/(5730)}\implies A\approx 0.00000001555302367~Kgs$

a lunch bill including tax, is divided among you and 5 friends. everyone pays less than $8.75. write and solve an inequality that describes the total amount of the bill

Answers

They each pay 1.75 so the inequality is x<=1.75

Answer:

horrible at math or i would help

Step-by-step explanation:

How many times greater is the value of the 6 in 560,984 than the value of the 6 in 85,560?

Answers

Each place value is 10 times higher than the one below it. The 6 in 560,984 is 3 place values ahead of the 6 in 85,560, and 10*10*10=1000, so it is 1000 times greater

Place each number on the number line. Use the number line to round the numbers to the nearest 1,000

Answers

where is the number line

The members of the Math Club are buying T-shirts. The shirts will cost $5.00 each plus a one-time fee of $20.00 for the design of the shirt. The total order can be at most $170. The inequality 5n+20≤170
can be solved to determine n, the number of T-shirts that can be purchased. Which inequality best represents the solution?

Answers

Answer:

possibly 145 ?

Step-by-step explanation:

minus 25 from 170