Question

Carl ran the experiment and here are the results:17 times on letter A8 times on letter B5 times on letter CWhat is the EXPERIMENTAL probability of landing on B?5/308/308/178/13

Answer 1

Step 1: Calculate the total number times the experiment was carried out

`\begin{gathered} A\Rightarrow17\text{ times} \\ B\Rightarrow8\text{ times} \\ C\Rightarrow5\text{ times} \\ \text{Total number of times =17+8+5=30} \end{gathered}`

Step 2: Write out the formula for probability of an event to occur

`\begin{gathered} Pr(B)=(n(B))/(n(T)) \\ Pr(B)\Rightarrow\text{ probability that B shows up} \\ n(B)\Rightarrow\text{ number of times of B} \\ n(T)\Rightarrow\text{ Total number of times the experiment was carried out} \end{gathered}`

Step 3: Find the experimental probability of landing on B

`\begin{gathered} n(B)=8,n(T)=30 \\ Pr(B)=(8)/(30) \end{gathered}`

Hence, the experimental probability of landing on B is 8/30