A fair coin is tossed, and a fair six-sided die is rolled. What is the

Question

A fair coin is tossed, and a fair six-sided die is rolled. What is the probability that the coin come up heads and the die will come up 1 or 2?

A. 1/2
B. 1/3
C. 1/4
D. 1/6
E. 1/12

imeanup · Answer

P(H)=\frac{1}{2}

P(1)=\frac{1}{6}

P(2)=\frac{1}{6}

P(1 ,or, 2)=\frac{1}{6}+\frac{1}{6}=\frac{1}{3}

Required  P=\frac{1}{2}*\frac{1}{3}=\frac{1}{6}

Ans D

XSatishX · Answer

Probability of Heads = 1/2
Probability of 1 or 2 in a dice = 2/6 = 1/3
P(A and B) = P(A)*P(B)
P(Heads and 1 or 2) = 1/2*1/3
=1/6

BrushMyQuant · Answer

A fair coin is tossed, and a fair six-sided die is rolled. What is the probability that the coin come up heads and the die will come up 1 or 2?

P(H)  =  \frac{1}{2}  (As we have 1 case out of 2 (head or tail) in which we can get a head)

P(1 or 2)  =  \frac{2}{6}  (As we have 2 case2 (1 or 2) out of 6 (1, 2, 3, 4 ,5, 6) in which we can get a 1 or a 2) =  \frac{1}{3}

P getting a head and getting 1 or 2  = P(H) * P(1 or 2) =  \frac{1}{2}  *  \frac{1}{3}  =  \frac{1}{6}

So,  Answer will be D 
Hope it helps!

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