What is the probability of rolling a 3 with a number cube that has the numbers 1, 2, 3, 4, 5, and 6 and then, tossing heads with a coin?



A. 1/12

B. 1/8

C. 1/2

D. 2/3




Respuesta :

Since the possibility of possible outcome is independent for the two events, we can calculate the first one as 1 in 6, and the second one as 1 in 2. Multiply 1/6 and 1/2 the answer is 1/12.
There are 6different  numbers on a cube  and 3 is one of them so P(getting a 3) = 1/6
P(getting a head with the coin)  = 1/2

These 2 events are independent so their probs  are multiplied

So P(3 then head)  = 1/6 8*1/2  -= 1/12

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