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Suppose you roll a special 8-sided die. What is the probability that the number rolled is a "1" OR a "2"? Round to 3 decimal places. Question

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5 votes

Final answer:

The probability of rolling either a "1" or a "2" on an 8-sided die is 0.2500, calculated by adding the individual probabilities of rolling each number since the events are independent.

Step-by-step explanation:

The question asks about the probability of rolling either a "1" or a "2" on an 8-sided die. Since there are 8 sides on the die, each with an equal chance of landing face up, and the outcomes are independent, we calculate the probability as the sum of the individual probabilities for rolling a "1" and rolling a "2". The probability of rolling a "1" is 1/8, and the probability of rolling a "2" is also 1/8. Because these are separate and mutually exclusive events, we add the two probabilities together to get the total probability.

The calculation is (1/8) + (1/8) = 2/8, which simplifies to 1/4. To adhere to the standards of rounding answers to four decimal places for probability problems, we express this as 0.2500.

Therefore, the probability of rolling a "1" or a "2" on an 8-sided die is 0.2500.

User Seanb
by
3.1k points
4 votes

we have that

total numbers =8

The probability of getting any number is

P=1/8

so

The probability of getting a 1 or a 2 is

P=2/8 --------> 1/8+1/8=2/8

simplify

P=1/4

P=0.25

User Dmitry Dubovitsky
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3.8k points