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7nadin3 [17]
3 years ago
12

Find the probability that you roll the same number twice in a row when you toss two fair 6-sided dice.

Mathematics
1 answer:
marysya [2.9K]3 years ago
8 0

Answer: 6/36

Step-by-step explanation:

When tossing two number cubes, you can get such sample space

(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)

(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)

(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)

(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)

(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)

(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)

There are 36 possible outcomes. Only (1,1), (2,2), (3,3), (4,4), (5,5), and (6,6) use the same number twice.

Hence, the probability that you roll two numbers that are the same in a row is 6/36, or in simplified form, 1/6.

Hope that helps! :)

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if you roll a standard six-sided die what is the probability that you get a one or a five give your answer as a simplified fract
kondor19780726 [428]

Answer:

2/6 - simplified fraction=1/3

Step-by-step explanation:

5 0
3 years ago
Use set-builder notation to describe the following sets: (a) {1,2,3,4,5,6,7} (b) {1, 10, 100, 1000, 10000} (c) {1,1/2, 1/3, 1/4,
Alja [10]

Answer:

A) The set builder notation is: {n | n∈Z, 1≤n≤7}.

B) The set builder notation is: \{10^x | x=0,1,2,3,4\}

C) The set builder notation is: \{\frac{1}{n} | n\in z\}

D) The set builder notation can be: \{x\ \in R | x=x^3\ and\ x\neq 1\}

Step-by-step explanation:

Consider the provided information,

We need to use set-builder notation to describe the following sets.

(a) {1,2,3,4,5,6,7}

Here, the number are integer starting from 1 to 7.

Thus, the set builder notation is: {n | n∈Z, 1≤n≤7}.

(b) {1, 10, 100, 1000, 10000}

The above set can be written as:

\{1, 10, 100, 1000, 10000\}=\{10^0, 10^1, 10^2, 10^3, 10^4\}

Thus, the set builder notation is: \{10^x | x=0,1,2,3,4\}

(c) {1, 1/2, 1/3, 1/4, 1/5, ...}

Here the numerator is 1 for each term but denominator is natural number.

Thus, the set builder notation is: \{\frac{1}{n} | n\in z\}

(d) {0}

The set builder notation can be: \{x\ \in R | x=x^3\ and\ x\neq 1\}

8 0
4 years ago
I don't understand this problem on my homework can explain to me how to solve it?
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3 years ago
Mary can run 5 kilometers in 18.75 minutes.
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Answer:

30 minutes

Step-by-step explanation:

Find the unit rate (time per SINGLE kilometer).

5/5=1 18.75/5=3.75

Multiply 3.75 (unit rate) by 8.

3.75 x 8=30

8 0
3 years ago
A cooler contains 5 bottles of lemonade, 4 bottles of water , and 3 bottles of juice. Each type is equally likely to be chosen.
rodikova [14]
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