Question

1. You spin once find the P(spin an even number or a 3) =2. You spin twice find the P(spin a 5 and then a number less than 3)=Answer the following questions base off of the spinner below and remember OR is the addition rule and AND is the multiplication rule make sure your answer is in reduce fraction form.

Answer 1

$\text{probability}=\frac{\text{ number of favorable outcomes}}{\text{ total number of outcomes}}$

1. even outcomes in the spinner: 4

total outcomes: 12

outcomes with a 3: 3

Applying the addition rule:

$\text{ P(even number or a 3) = P(even number)+ P(3) = }\frac{4}{12}+\frac{3}{12}=\frac{4+3}{12}=\frac{7}{12}$

2. outcomes with a 5: 4

outcomes less than 3: 3

Applying the multiplication rule:

$\text{ P(5 and less than 3) = P(5)}\cdot\text{ P(less than 3) =}\frac{4}{12}\cdot\frac{3}{12}=\frac{4\cdot3}{12\cdot12}=\frac{12}{12\cdot12}=\frac{1}{12}$