Question

A bowl contains 12 poker chips 3 red , 4 white and 5 blue. One of these poker chips is selected at random from the bowl. Let B denote the event that the chips is selected is blue. Find the probability that a blue chips is selected, and express your answer in probability notation

Short answer

The probability of picking a blue chip from a bowl is $\frac{5}{12}$and it is written in probability notation by $P\left(B\right)=\frac{5}{12}$

Step-by-step solution

Step 1. Given information. 

A bowl contains $12$poker chips, three of which are red, four of which are white, and five of which are blue.

Step 2. It is assumed that the poker chips chosen at random from the bowl are blue in colour.

There are a total of $12$poker chips.

The number of blue poker chips is five.

Where 'B' denotes the event in which a blue-colored poker chip is chosen.

$$\begin{gathered} P\left(B\right)=\frac{thenumberoffavourableoutcomes}{Totalnumberofoutcome} \\ P\left(B\right)=\frac{5}{12} \end{gathered}$$

The probability of picking a blue chip from a bowl is $\frac{5}{12}$, and it is written in probability notation by $P\left(B\right)=\frac{5}{12}$