Question

NO LINKS!! Please help me with this probability question Part 1j​

Answer 1

`\textsf{b)} \quad \text{P}(A\;\text{and}\;B)=(1)/(5)`

Explanation:

Given:

`\text{P}(A)=(1)/(4)`

`\text{P}(B)=(1)/(4)`

`\text{P}(A|B)=(4)/(5)`

Conditional Probability Formula

`\text{P}(A \cap B)=\text{P}(B)\;\text{P}(A|B)`

Substitute the given values into the formula:

`\begin{aligned}\implies \text{P}(A \cap B)&=(1)/(4) \cdot (4)/(5)\\\\&=(4)/(20)\\\\&=(1)/(5)\end{aligned}`