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klasskru [66]
2 years ago
6

If you roll a die twice, what is the probability of getting a number less than 5 on both rolls?

Mathematics
1 answer:
xz_007 [3.2K]2 years ago
8 0
<h3>Answer:  4/9</h3>

========================================================

Explanation:

The outcomes of the die are {1,2,3,4,5,6} which is the sample space.

The values less than 5 are {1,2,3,4}

There are 4 values we want out of 6 total, so 4/6 = 2/3 is the probability of rolling something less than 5 on a single die.

The probability of getting two such values in a row is (2/3)*(2/3) = 4/9

Each die roll is independent of any other.

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Answer:

The missing factor is (9s+1)

Step-by-step explanation:

The missing factor is (9s+1) because of the following

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If we factor out 2 from 18s+2, we get 2(9s+1)

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================================================

Problem 1

3 - 8x \ge -29\\\\-8x \ge -29-3\\\\-8x \ge -32\\\\x \le \frac{-32}{-8} \ \text{ inequality sign flip}\\\\x \le 4

The inequality sign flip happens because we divided both sides by -8.

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================================================

Problem 2

1x+2x-7 < 6\\\\3x-7 < 6\\\\3x < 6+7\\\\3x < 13\\\\x < \frac{13}{3}\\\\x < 4 \frac{1}{3}

The graph will have an open circle at 13/3 = 4&1/3 = 4.333 approx. The shading is to the left. No inequality sign flip happens because we divided both sides by a positive number.

Your choice of three solutions is correct. You can pick anything smaller than 4.3333

================================================

Problem 3

9-2x \le 6x-15\\\\-2x-6x \le -15-9\\\\-8x \le -24\\\\x \ge \frac{-24}{-8} \ \text{ inequality sign flip}\\\\x \ge 3

The solution set is any value 3 or larger. Three solutions are x = 5, x = 6 and x = 7.

The graph has a closed circle at 3 on the number line. The shading is to the right.

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