What principle states that if there are p ways to do one thing, and for each of these ways there are q ways to do another thing, then there are p × q ways to do both things?
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What principle states that if there are p ways to do one thing, and for each of these ways there are q ways to do another thing, then there are p × q ways to do both things?
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Answer:
The fundamental counting principle states that if there are p ways to do one thing, and q ways to do another thing, then there are p×q ways to do both things. possible outcomes of the experiment.
Step-by-step explanation:
Suppose you have 3 shirts (call them A , B , and C ), and 4 pairs of pants (call them w , x , y , and z ). Then you have
3×4=12
possible outfits:
Aw,Ax,Ay,AzBw,Bx,By,BzCw,Cx,Cy,Cz
Example 2:
Suppose you roll a 6 -sided die and draw a card from a deck of 52 cards. There are 6 possible outcomes on the die, and 52 possible outcomes from the deck of cards. So, there are a total of
6×52=312
possible outcomes of the experiment.