Question

An experiment consists of flipping a single
coin followed by rolling a six-sided number
cube (a die).
What is the probability of getting a head
followed by an even number?

Answer 1

Answer:

$\dfrac{1}{4}$

Step-by-step explanation:

The sample space of rolling a six-sided die and a coin is given below:

$\left|\begin{array}{c|ccccccc}&1&2&3&4&5&6\\--&--&--&--&--&--&--\\H&H1&H2&H3&H4&H5&H6\\T&T1&T2&T3&T4&T5&T6\end{array}\right|$

Total Number of Possible Outcomes = 12, i.e. n(S)=12

Let the event of getting a head  followed by an even number = A

A={H2, H4, H6}

n(A)=3

Therefore:

Probability of getting a head  followed by an even number

$=\dfrac{n(A)}{n(S)}\\ =\dfrac{3}{12}\\\\=\dfrac{1}{4}$