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How do you find the sample space of an experiment where you flip a coin 6 times and note the number of heads?
The sample space consists of all the possible outcomes. A flip of a coin has 2 outcomes, H,T. The total number of outcomes for 6 flips are 26 or 64.
What is a binary response?
Two mutually exclusive outcomes. You flip a coin, and only heads and tails are possible.
Is flipping a quarter and a penny a dependent event?
No. Each flip of each coin is an independent event. The flip of the quarter has no effect on the flip of the penny and vice versa. Also, the previous flip of either coin has no effect on the next flip.
If joe sam and mary each flip a coin how many possible outcomes are there?
If you can identify the outcomes with who flipped each coin: eg Joe and Mary = Heads, Sam = Tails, then 23 = 8. Otherwise, 4.
What is the probability of flipping a coin four times and getting the same side all four times?
Each flip has two possible outcomes and they are independent events, so there are 24 = 16 possible results. Of these, only 2 (HHHH, TTTT) are the same 4 each time, Thus: probability = 2/16 = 1/8
