Pregunta
A fair coin is tossed 3 times in succession. The set of equally likely outcomes is
{HHH, HHT, HTH, THH, HTT, THT, TTH, TTT}. Find the probability of getting a tail on the
third toss.
The probability of getting a tail on the third toss is
(Type an integer or a simplified fraction.)
{HHH, HHT, HTH, THH, HTT, THT, TTH, TTT}. Find the probability of getting a tail on the
third toss.
The probability of getting a tail on the third toss is
(Type an integer or a simplified fraction.)
Ask by John Nunez. in the United States
Mar 31,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
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The probability of getting a tail on the third toss is
Solución
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The Deep Dive
To calculate the probability of getting a tail on the third toss, we first need to identify how many of the total outcomes feature a tail (T) in the third position. The possible outcomes are:
- HHH
- HHT
- HTH
- THH
- HTT
- THT
- TTH
- TTT
Now, we look for outcomes where the third toss is T:
- HHT
- THT
- TTH
- TTT
There are 4 outcomes where the third toss is T out of the total 8 outcomes. Thus, the probability can be calculated as:
So, the probability of getting a tail on the third toss is
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