For an experiment in science class, students roll a number cube with faces numbered 1 to 8, then draw a card from deck of 3 cards - the ace of hearts, queen of spades, and eight of clubs, and then finally flip a coin. How many possible outcomes are there for this experiment ? PLZZ HELP !!!!
How many possible outcomes are there when you roll the cube of 8 faces?
Use the counting principle.
@mathstudent55 what is the counting principle ????
@welshfella im not sure
there are 8 numbers right? so if you roll the dice any one of 1 to 8 will be obtaines So that is how many outcomes?
8 @welshfella
right so for every 1 of the eight numbers you will get any 1 of the 3 cards - that's a possible number of outcomes of 8 * 3 = 24. (this is the counting principle)
Flipping a coin has 2 outcomes Heads and tails so possible outcomes for the whole experiment = 24 * what?
Um 24*8 ??
no - we are dealing with the coin now - 2 outcomes
for everyone of the 24 outcomes we can get a head or a tail
24*2
so it 24 * ?
right
Which is 48
its 8*3*2 = 48
yea
That's the final answer ?
@welshfella
The counting principle is find how many ways each thing can happen and multiply them all together.
cube: 8 outcomes cards: 3 outcomes coin: 2 outcomes total outcomes: 8 * 3 * 2 = 48 You are correct.
Thanks @mathstudent55
You're welcome.
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