Question

A coin is tossed,and a four-section spinner is spun once.The tree diagram shows the possible outcomes for the Two events. What is the probability of flipping heads on the coin and spinning 4 on the spinner?

Answer 1

Probability of getting heads on the coin and spinning 4 on the spinner =
`(1)/(8)`

Explanation:

When a coin is tossed the probability to get head or tail =
`\frac{\text{favorable outcome}}{\text{total outcomes}}`

=
`(1)/(2)`

When a spinner, divided in four sections numbered from 1 to 4 is spun the probability to get 4 on the spinner =
`\frac{\text{favorable outcome}}{\text{total outcomes}}`

=
`(1)/(4)`

Now probability of flipping heads on the coin and spinning 4 on the spinner = Probability of getting heads on the coin × probability of spinning 4 on the spinner

=
`(1)/(2)* (1)/(4)`

=
`(1)/(8)`

Answer 2

I believe that the answer is 1/8.  I hope this helps