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You roll a cube with the numbers 13, 16, 18, 20, 22, and 24 on it. You then spin a spinner which has 6 sections. The letters on the spinner are E, B, G, K, D, and H. Find the P(G and prime number). Write your answer as a fraction or a decimal

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DubuChewyidn

PROBLEM SOLVING

You roll a cube with the numbers 13, 16, 18, 20, 22, and 24 on it. You then spin a spinner which has 6 sections. The letters on the spinner are E, B, G, K, D, and H. Find the P(G and prime number). Write your answer as a fraction or a decimal

[tex]\boxed{\sf \frac{1}{36} }[/tex]

WHY?

▶The only prime number of the list of values given is the value 13. This is because the only factors are 1 and 13. Something like 24 isn't prime because 2 is a factor.

▶The probability of rolling to get a prime number is 1/6 because there is one prime out of 6 total values listed.

▶The probability of spinning on "G" is also 1/6 because there is only one section labeled "G" out of 6 sections total.

▶Assuming both events are independent, we multiply the probabilities to get (1/6)*(1/6) = 1/36 which represents the probability of rolling a prime number and spinning on G.

  • Side note: 1/36 = 0.0278 = 2.78% approximately
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