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Ilya [14]
3 years ago
5

A single die is rolled one time. Find the probability of rolling a number greater than 2 or less than 5.

Mathematics
1 answer:
Ainat [17]3 years ago
6 0

Answer the correct option is D

Step-by-step explanation:

The die has six sides. The numbers on each side are 1, 2, 3. 4, 5 and 6. This means that the total number of possible outcomes is 6

The numbers greater than 2 are 3, 4, 5 and 6. It means that there are four numbers out of 6 that are greater than 2. So the probability of rolling a number greater than 2 is 4/6 = 2/3.

Again, the numbers lesser than 5 are 1,2,3 and 4 . there are 4 numbers. So the probability of rolling a number lesser than 5 is 4/6 = 2/3

But both probabilities are mutually non exclusive. It means that 3 and 4 is common. The probability of rolling a 3 and a 4 = 1/6 + 1/6 = 2/6 = 1/3.

Therefore, the probability of rolling a number greater than 2 or less than 5 would be 2/3 + 2/3 - 1/3 = 3/3 = 1

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Step-by-step explanation:

Step 1: Simplify both sides of the equation.

1/2(1/4x−3/5)=1/4(2/5+3/4x)

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1/8x+−3/10=1/10+3/16x

1/8x+−3/10=3/16x+1/10

Step 2: Subtract 3/16x from both sides.

1/8x+−3/10−3/16x=3/16x+1/10−3/16x

−1/16x+−3/10=1/10

Step 3: Add 3/10 to both sides.

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−1/16x=2/5

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