Question

What is the combined probability of getting a heads when flipping a coin and an odd number when spinning a spinner with 4 equal parts numbered 1 to 4?A.1/4B.1/2C.2/4D.3/8

Answer 1

Solution

When a coin is flipped, the outcome is either a head (H) or a tail (T).

The total possible outcome is 2

The probability of flipping a head, H, is

$P\left(H\right))=\frac{1}{2}$

When spinning a spinner numbered 1 to 4

The total possible outcome is 4

The probability of obtaining an odd number, i.e {1, 3} is

$\begin{gathered} P\left(Odd\right)=\frac{2}{4}=\frac{1}{2} \\ P\left(Odd\right)=\frac{1}{2} \end{gathered}$

The combined probability of getting a heads when flipping a coin and an odd number when spinning a spinner with 4 equal parts numbered 1 to 4 will be

$\begin{gathered} P=P\left(H\right)\times P\left(Odd\right) \\ P=\frac{1}{2}\times\frac{1}{2}=\frac{1}{4} \\ P=\frac{1}{4} \end{gathered}$

Hence, the answer is 1/4 (option A)