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<h3>Answer: Choice C</h3>
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Explanation:
The curly braces tell us we're dealing with a set of values.
The notation means "x is in the set of real numbers". In other words, it says "x is a real number".
Writing tells the reader that x is between 17 and 21, including both endpoints.
Put everything together and means "we have a set of real numbers x that are between 17 and 21, inclusive".
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Extra info:
- Choice A can be ruled out because there isn't any number that's <u>both</u> smaller than 17 <u>and</u> also larger than 21 at the same time. The set described for choice A simplifies to the empty set.
- Choice B is ruled out because this is only talking about integers between 17 and 21; instead of real numbers. A number like 17.5 is left out when we want to include it.
- Choice D can be ruled out because the endpoints x = 17 and x = 21 are left out (but we want to include them). Also, there's no mention if x is a real number or not.
<u>Answer:</u>
The correct answer option is b. 1/216.
<u>Step-by-step explanation:</u>
The probability of getting a 4 when a die is rolled is which can be written as:
P (4) =
So to find the probability of getting a 4 each time if a die is rolled 3 times, we will multiply the probability of getting a 4 by 3.
P (getting a 4 each time when die is rolled 3 times) = = 1/216