Question

What is the probability of landing on a number less than 3 and then landing on a divisor of Write your answer as a percentage

Answer 1

The number less than 3 are {1,2}.

The total possible outcome is 4.

Determine the probability for number less than 3.

`\begin{gathered} P(A)=(2)/(4) \\ =(1)/(2) \end{gathered}`

The number divisor of 20 are {1,2,4}.

Determine the probability for landing on a number divisor of 20.

`P(B)=(3)/(4)`

The probability for number less than 3 and number divisor of 20 are independent events. So,

`\begin{gathered} P(AandB)=P(A)\cdot P(B) \\ =(1)/(2)\cdot(3)/(4) \\ =(3)/(8) \end{gathered}`

Determine the probability in percentage by multiply the fraction with 100.

`\begin{gathered} P(AandB)=(3)/(8)\cdot100 \\ =37.5 \end{gathered}`

So answer is 37.5 %.