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?

Respuesta :

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

Answer:

Probability of getting heads on the coin and spinning 4 on the spinner = [tex]\frac{1}{8}[/tex]

Step-by-step explanation:

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

= [tex]\frac{1}{2}[/tex]

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

= [tex]\frac{1}{4}[/tex]

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

= [tex]\frac{1}{2}\times \frac{1}{4}[/tex]

= [tex]\frac{1}{8}[/tex]

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