A 6-sided-die is loaded so that all sides have equal chances to come up, except for 6, whose chances of coming up is three times the chance of any other number.
Find the probability of a number less than 5 coming up in a single toss.
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A 6-sided-die is loaded so that all sides have equal chances to come up, except for 6, whose chances of coming up is three times the chance of any other number.
Find the probability of a number less than 5 coming up in a single toss.
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✒️PROBABILITY
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[tex] \large\underline{\mathbb{PROBLEM}:} [/tex]
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[tex] \large\underline{\mathbb{ANSWER}:} [/tex]
[tex] \qquad \Large \:\:\rm{P(n<5) = \frac{\,1\,}{2}} \\ [/tex]
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[tex] \large\underline{\mathbb{SOLUTION}:} [/tex]
» Write the Sample space for the possible outcomes of a fair die.
» Since 6 is three times the chance will come out, then add two 6s to make three 6s in the sample space.
» And thus, there are 8 possible outcomes for this loaded dice. Find the sample space for outcomes that is less than 5.
» Find the probability of getting a number less than 5 in a loaded dice.
[tex] \therefore [/tex] The probability of getting a number less than 5 in a loaded dice is 1/2
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