A coin is tossed 7 times . Which of the following represents the probability of the coin landing on tails all 7 times
Answer:
○ C. [tex]\frac{1}{64}[/tex]
Step-by-step explanation:
Using the formula [tex]\frac{1}{2^{n}}[/tex], where n represents the number of tosses, substitute 7 in for n to get this:
[tex]\frac{1}{64} = \frac{1}{2^{7}}[/tex]
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The probability of the coin landing on tails all 7 times is 1/128.
We know, that if we flip a coin 7 times then the odds of getting 7 tails in a row is 1 in [tex]2^{7}[/tex] or 1 in 128.
So, the probability of getting a coin landing on tails all 7 times is 1 in 128.
Therefore, option D is the correct probability.
Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e. how likely they are to happen, using it.
The probability of an event can be calculated by probability formula by simply dividing the favorable number of outcomes by the total number of possible outcomes.
probability and statistics, the branches of mathematics concerned with the laws governing random events, including the collection, analysis, interpretation, and display of numerical data.
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