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You roll a six-sided dice.Event A: Roll a 6. Event B: Roll a prime number. Find P(A or B) . Express your answer as a fraction in simplest form.

Sagot :

The probability of rolling a 6 is:

[tex]P(A)=\frac{1}{6}[/tex]

There are 3 prime numbers between 1 and 6: 2, 3 and 5. Therefore, the probability of rolling a prime number is:

[tex]P(B)=\frac{1}{3}[/tex]

Therefore, the probability of rolling a 6 or a prime number is:

[tex]P(AorB)=\frac{1}{6}+\frac{1}{3}=\frac{1}{2}[/tex]

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