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You roll a six-sided die.

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.

P(A or B) = ?


Sagot :

Answer:

2/3

Step-by-step explanation:

Event A = 1/6

Event B = 3/6 = 1/2

P(A or B) = P(A) + P(B)

= 1/6 + 1/2

= 4/6

In simplest form = 2/3

The probability of event A or event B is 2/3.

What is the probability?

Probability is "the possibility that deals with the occurrence of the random of event".

According to the question,

Number of sides of die n(s) = 6

Event A is rolling a die of side 6 and event B is rolling a die of prime number sides

Formula for probability = [tex]\frac{Number of favorable event}{Totalnumber of events}[/tex] .

Probability of event A = 1/6

Probability of event B = 3/6 =1/2

Probability (event A or event B) = 1/6 + 1/2

=2/12+6/12

=8/12 = 2/3.

Hence, the probability of event A or event B is 2/3.

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