Question

2:One fair spinner (A-D) is spun and one fair dice (1-6) is rolled.IWhat is the PROBABILITY that you will land on a B ANDan EVEN number?3:SHOW YOUR WORK! Use the sample space from question 8 to assist you! Writeyour answer in SIMPLIFIED FRACTION form.

Answer 1

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

First event: spin a B

number of favorable outcomes: 1

total number of outcomes: 4

Then, the probability of spinning a B is:

`P(B)=(1)/(4)`

Second event: rolling an even number

number of favorable outcomes: 3 (2, 4, 6)

total number of outcomes: 6

Then, the probability of rolling an even number is:

`P(even)=(3)/(6)=(1)/(2)`

These two events are independent (one event or result doesn't affect the other one), then:

`\text{ P(B and even)=P(B)}\cdot P(even)=(1)/(4)\cdot(1)/(2)=(1)/(8)`