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You roll a 6-sides die with faces number 1 through 6, and toss a coin. What is the probability of rolling a 2 or getting heads?

 Feb 29, 2020
 #1
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rolling a 2 = 1 / 6

Getting a head = 1 / 2

Probability = 1 /6 x 1 / 2 =1 / 12

 Mar 1, 2020
 #2
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If two events (event A, event B) are independent, then

   Probability(A or B)  =  Probability(A) + Probability(B) - Probability(A and B)

 

Let    A = rolling a 2     and     B = getting a head     [these are independent events]

 

Probability(A)  =  1/6

Probability(B)  =  1/2

Probability(A and B)  =  1/6 x 1/2  =  1/12

 

Probability(A or B)  =  Probability(A) + Probability(B) - Probability(A and B)  =  1/6 + 1/2 - 1/12  =  7/12  

 Mar 1, 2020

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