A coin is flipped to decide which team starts the game. What is the probability that your team will start?
Answer
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Hint: Probability is the term mathematically with events that occur, which is the number of favorable events that divides the total number of the outcomes.
If we divide the probability and then multiplied with the hundred then we will determine its percentage value.
$\dfrac{1}{6}$ which means the favorable event is $1$ and the total outcome is $6$
Formula used:
$P = \dfrac{F}{T}$where P is the overall probability, F is the possible favorable events and T is the total outcomes from the given.
Complete step by step answer:
Since in a coin there are only two possible ways, one is head or the other is tail.
Hence the possible total outcome will be $2$ and which is the total event of the probability.
Also, the favorable event of deciding is one, because if the coin tossed outcome is head then not possible for tail, also if tail occurs then head Is not possible.
Thus, the favorable event of your team will be decided can be obtained as $1$ (either head or tail)
Substituting the values onto the formula we get $P = \dfrac{F}{T} \Rightarrow \dfrac{1}{2}$
Hence the probability that your team will start $\dfrac{1}{2}$
Therefore, $\dfrac{1}{2}$ is the correct answer.
Note:
We are also able to solve the given problem using the formula. First, let us assume the overall total probability value is $1$ (this is the most popular concept that used in the probability that the total fraction will not exceed $1$ and everything will be calculated under the number $0 - 1$ as zero is the least possible outcome and one is the highest outcome)
Hence the probability of the losing the toss is $\dfrac{1}{2}$ and to find the winning probability we use the formula $1 - \dfrac{1}{2} = \dfrac{1}{2}$
If we add the winning and losing probability then we have $\dfrac{1}{2} + \dfrac{1}{2} = 1$ which is the total value.
If we divide the probability and then multiplied with the hundred then we will determine its percentage value.
$\dfrac{1}{6}$ which means the favorable event is $1$ and the total outcome is $6$
Formula used:
$P = \dfrac{F}{T}$where P is the overall probability, F is the possible favorable events and T is the total outcomes from the given.
Complete step by step answer:
Since in a coin there are only two possible ways, one is head or the other is tail.
Hence the possible total outcome will be $2$ and which is the total event of the probability.
Also, the favorable event of deciding is one, because if the coin tossed outcome is head then not possible for tail, also if tail occurs then head Is not possible.
Thus, the favorable event of your team will be decided can be obtained as $1$ (either head or tail)
Substituting the values onto the formula we get $P = \dfrac{F}{T} \Rightarrow \dfrac{1}{2}$
Hence the probability that your team will start $\dfrac{1}{2}$
Therefore, $\dfrac{1}{2}$ is the correct answer.
Note:
We are also able to solve the given problem using the formula. First, let us assume the overall total probability value is $1$ (this is the most popular concept that used in the probability that the total fraction will not exceed $1$ and everything will be calculated under the number $0 - 1$ as zero is the least possible outcome and one is the highest outcome)
Hence the probability of the losing the toss is $\dfrac{1}{2}$ and to find the winning probability we use the formula $1 - \dfrac{1}{2} = \dfrac{1}{2}$
If we add the winning and losing probability then we have $\dfrac{1}{2} + \dfrac{1}{2} = 1$ which is the total value.
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