You roll a number cube twice. What is the probability of rolling a 5 first and then rolling an even number? 1/4, 1/3, 1/12, 1/36?

Respuesta :

Answer:

A = event of rolling a 2 on the first roll

P(A) = 1/6 because there is only one "2" out of six labels total on the number cube.

B = event of rolling an odd number on the second roll

P(B) = 3/6 = 1/2 since there are three odd numbers {1,3,5} out of six total

The events A and B are independent, so we can multiply the probabilities

P(A and B) = probability of both events happening simultaenously

P(A and B) = P(A)*P(B)

P(A and B) = (1/6)*(1/2)

P(A and B) = (1*1)/(6*2)

P(A and B) = 1/12

Final Answer: 1/12

Note: The fraction 1/12 is approximately equal to 0.0833

I hope this helped^.^

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Have a great day buddy! ~hailey