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You toss a coin (heads or tails), then spin a three-color spinner (red, yellow, or blue). Complete the tree diagram, and then use it to find a probability.

1. Label each column of rectangles with "Coin toss" or "Spinner."

2. Write the outcomes inside the rectangles. Use H for heads, T for tails, R for red, Y for yellow, and B for blue.




3. Write the sample space to the right of the tree diagram. For example, write "TY" next to the branch that represents "Toss a tails, spin yellow."


4. How many outcomes are in the event "Toss a tails, spin yellow"? (1 point)


5. What is the probability of tossing tails and spinning yellow? (1 point)

Respuesta :

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Answer:

If the spinner has an even number of spaces,

1

8

. If the spinner has an odd number of spaces, more information is needed.

Explanation:

The answer depends on whether the spinner has an odd or even number of spaces.

If the spinner has an even number of numbers on it, there will be an equal number of odd and even numbers, meaning that the probability of spinning an odd number is

1

2

. This is also the probability of flipping heads on a coin. And so we have:

1

2

×

1

2

×

1

2

=

1

8

If the spinner has an odd number of numbers on it, the probability of spinning an odd number will vary. For instance, if there are 3 spaces on the spinner, the probability of spinning an odd number will be

2

3

. However, if there are 11 spaces, the probability will be

6

11

.

Step-by-step explanation:

The probability of tossing tails and spinning yellow is 1/6.

What is probability?

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

Outcomes of tossing a coin= {T,H}

Outcomes of spinner={ R,Y,B}

Now, outcomes are in the event "Toss a tails, spin yellow"

= {TY}

probability of tossing tails and spinning yellow,

= 1/2*1/3

= 1/6

Learn more about probability here:

https://brainly.com/question/11234923

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