1 Answer

Sbegaudeau · Answer 1 · 2023-08-10T12:18:30+0000

Answer:

Concept:

The formula for the probability of A given B is given below as

In this case, we will use the cardinality

$\begin{gathered} P(A|B)=(n(A\cap B))/(n(B)) \\ where, \\ A=charmed\text{ 5-10 worms} \\ B=raking\text{ the ground} \end{gathered}$

From the table, we will that

$\begin{gathered} n(A\cap B)=8 \\ n(B)=8+4=12 \end{gathered}$

By substituting the values, we will have

$\begin{gathered} P(A\lvert B)=\frac{n(A\operatorname{\cap}B)}{n(B)} \\ P(A\lvert B)=(8)/(12)=(2)/(3) \end{gathered}$

Hence,

The final answer = 2/3

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