A coin is tossed three times. What is the probability of getting no tail?
Answers
Answer:
A coin can only get heads or tails. So you have 1/2 chance of getting either heads or tails.
Well simplify tails to T and heads to H.
The possibilities are:
T H H
H T H
H H T
T T H
T H T
H T T
T T T
H H H
As you can see, there is only one cenario in throwing all the coins where there isnt a tails. In tha scenario, you’d need all three coins to be heads. The chances are for one given coin to be heads is 1/2, so the chance for all three to have that same result would be (1/2)^3 ( as a probability tip, anytime you must consider that the result something must happen AND somethin else must happen, you multiply the odds of those two things happening; the chamces that the first coin is heads and the second coin is heads and the third coin is heads equates to 1/2*1/2*1/2 = (1/2)^3 = 1/8 )
So you have a 7/8 chance that you will have at least one tails. If you want a % answer, just multiply 7/8 * 100.