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Mathematics 9 Online
OpenStudy (anonymous):

Stefan flips a coin four times. Which of the following shows the number of possible outcomes? choices: 2 sixteen sixty-four 8

OpenStudy (mani_jha):

The possible outcomes would be: \[(H,H,H,H),(H,T,H,H) etc\] Now, you've to find the number of four-lettered combinations you can make with H(Heads) and T(tails) Take four blank spaces, to be filled by either H or T. _ _ _ _ In how many ways can these spaces be filled?

myininaya (myininaya):

@Luis Rivera how did you get that? I suppose you used the m*n rule For each flip you have two possibles And we have 4 flips so that means we have 2*2*2*2

OpenStudy (anonymous):

4 ways?

myininaya (myininaya):

That product does not =4

OpenStudy (anonymous):

i was replying to mani jha sorry

OpenStudy (mani_jha):

Think again. Each space can be filled by either Heads or Tails. That means each space can be filled in 2 ways. So, the four spaces can be filled in 2*2*2*2 ways. Get it?

OpenStudy (anonymous):

I thnk i understand now

myininaya (myininaya):

So what if we had 3 flippings?

OpenStudy (mani_jha):

2*2*2=8 ways.

myininaya (myininaya):

And 6 flippings? lol

OpenStudy (mani_jha):

It will just be 2^x, if x is the no. of flippings..:p I think so

myininaya (myininaya):

yes that right

myininaya (myininaya):

2^x where x is the number of flippings

myininaya (myininaya):

So what if we had that we were flipping a coin and tossing a die. What is the possible amount of outcomes?

OpenStudy (anonymous):

plz have mercy

OpenStudy (anonymous):

no more

myininaya (myininaya):

lol jackjones you can do it

myininaya (myininaya):

2 ways to choose the coin right? 6 ways to choose the die right? the product of 6 and 2 will give you the number of possible outcomes

OpenStudy (mani_jha):

lol, She's making us do classwork! :P right

myininaya (myininaya):

ok jack i will stop

OpenStudy (anonymous):

that pant pant wheeze

OpenStudy (anonymous):

was to much

OpenStudy (anonymous):

but i'll live... thank u for your help

myininaya (myininaya):

I was just in a teaching mood lol

OpenStudy (mani_jha):

This is quite easy @Jackjones, if you flip x coins and roll y dice, then total number of possible outcomes: \[2^{x}\times6^{y}\] Now let me give you some homework(lol) - prove that the above is true. Refer to the explanations of myininaya and mine, and think upon this. If you can't, we are always here.

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