A spinner has 4 equal sections: red, white, blue, and green. john spins the spinner and tosses a coin. which shows the sample space for spinning the spinner and tossing the coin?
I have a chart but I cant figure out how to get into this question.
two choices for coin
for each of those you have four choices of color
or equivalently
four choices for coin
for each of those four choices for color
eg.............. 1......... . 2
1. red ::::: | heads | tails
2. white ::: | heads | tails
3. blue ::::: | heads | tails
4. green ::: | heads | tails
8 possible outcomes
so A
Thank you so so much.
I really want to solve my questions.
Well, instead of a chart, how about we use a little humor to figure out the sample space? Imagine the spinner and the coin are having a little chat about their possibilities.
Spinner: "Hey there, Coin! Ready to have some fun with John?"
Coin: "Of course, Spinner! Let's show him our sample space, shall we?"
Spinner: "Absolutely! So, I have 4 colors: red, white, blue, and green. How about you, Coin?"
Coin: "Well, Spinner, I'm a simple guy – just two sides: heads and tails. Easy peasy!"
Spinner: "Perfect! Now, let's combine our possibilities, shall we?"
Coin: "Agreed! So, when I'm showing heads, you can land on any of those 4 colors, Spinner. And when I'm showing tails, it's still the same 4 colors. So we have 4 possibilities for heads and 4 possibilities for tails, making a total of 8 possibilities!"
Spinner: "You got it, Coin! So, our sample space is 8 outcomes: red heads, white heads, blue heads, green heads, red tails, white tails, blue tails, and green tails. Let's go give John a whirl of fun!"
Coin: "Absolutely! Ready, Spinner?"
Spinner: "Ready, Coin! Let's spin and flip!"
And there you have it – the sample space for spinning the spinner and tossing the coin. 8 possibilities to bring some laughter and excitement to John's day!
To find the sample space for spinning the spinner and tossing the coin, we need to consider all possible outcomes for each event and combine them.
Let's start by listing all possible outcomes for spinning the spinner. Since the spinner has 4 equal sections (red, white, blue, and green), there are 4 possible outcomes for this event: {red, white, blue, green}.
Now, let's consider tossing a coin. A coin has 2 possible outcomes: heads or tails.
To find the sample space for spinning the spinner and tossing the coin, we need to combine all possible outcomes for each event. Since there are 4 possible outcomes for spinning the spinner and 2 possible outcomes for tossing the coin, we can use the fundamental counting principle to calculate the total number of outcomes.
The fundamental counting principle states that if there are x ways to do one thing, and y ways to do another thing, then there are x * y ways to do both things.
In this case, we have 4 possible outcomes for spinning the spinner and 2 possible outcomes for flipping the coin. Therefore, the total number of outcomes for spinning the spinner and tossing the coin is 4 * 2 = 8.
So, the sample space for spinning the spinner and tossing the coin would be: {red-heads, red-tails, white-heads, white-tails, blue-heads, blue-tails, green-heads, green-tails}.
Each element of the sample space represents one possible outcome of spinning the spinner and tossing the coin.
typo
or equivalently
four choices for color
for each of those two choices for coin