Question

A coin is tossed and a die is rolled one after the other. Find the probability of flipping a tail and seeing a 4.

• A. $\frac{1}{2}$
• B. $\frac{1}{12}$
• C. $\frac{1}{6}$

Answer 1

The correct option is B $\frac{1}{12}$

The sample space diagram:

	1	2	3	4	5	6
H	H1	H2	H3	H4	H5	H6
T	T1	T2	T3	T4	T5	T6

P(tail and 4) = Probability of getting tail on the coin and '4' on the dice.

There is only one cell representing this and that is "T4".

Total number of outcomes = 12
Number of Favorable outcomes = 1

$P\left(tailand4\right)=\frac{1}{12}$