Answered

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joshua lee wishes to get the probability of the event in getting an odd face or the event in getting less than 4 in rolling a die​

Sagot :

UK2019idn

✏️PROBABILITY

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[tex]\underline{\mathbb{PROBLEM:}}[/tex]

  • Joshua Lee wishes to get the probability of the event in getting an odd face or the event in getting less than 4 in rolling a die?

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[tex]\underline{\mathbb{ANSWER:}}[/tex]

[tex] \qquad\Large\begin{gathered}\rm» \:\: \green{P(odd < 4) = \frac{\: 1 \: }{3}} \end{gathered} [/tex]

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[tex]\underline{\mathbb{SOLUTION:}}[/tex]

» Write the Sample space for the possible outcomes of a fair die.

  • [tex] \rm S = \{1,2,3,4,5,6\} [/tex]

» Write the Sample space for outcomes of getting an odd number less than 4.

  • [tex] \rm S(odd < 4)= \{1,3\} [/tex]

» Find the probability of getting an odd number less than 4 in rolling a die.

  • [tex] \rm P(odd < 4) = \frac{S(odd < 4)}{S} \\ [/tex]

  • [tex] \rm P(odd < 4) = \frac{ \: 2 \: }{6} \\ [/tex]

  • [tex] \rm P(odd < 4) = \frac{ \: 1 \: }{3} \\ [/tex]

[tex] \therefore [/tex] The probability of getting an odd number less than 4 in rolling a die is 1/3.

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