Respuesta :
Each coin has 2 outcomes when flipping (it may be head or tail), so the possibility to flip head is equal to possibility to flip tail and is [tex] \frac{1}{2} [/tex].
If you are flipping three times, then using the product rule you can conclude that the possibility to get three heads is equal to possibility to get three tails and is:
[tex] \frac{1}{2} \cdot\frac{1}{2} \cdot\frac{1}{2} = \frac{1}{8} =0.125[/tex]
If you are flipping three times, then using the product rule you can conclude that the possibility to get three heads is equal to possibility to get three tails and is:
[tex] \frac{1}{2} \cdot\frac{1}{2} \cdot\frac{1}{2} = \frac{1}{8} =0.125[/tex]
The probability of flipping 3 coins on the same side is [tex]\boxed{\frac{1}{4}{\text{ or 0}}{\text{.25}}}.[/tex]
Further Explanation:
Explanation:
The probability of getting a head on tossing a coin is [tex]P\left( H \right) = \dfrac{1}{2}.[/tex]
The probability of getting a tail on tossing a coin is [tex]P\left( T \right) = \dfrac{1}{2}.[/tex]
The probability of getting 3 heads can be obtained as follows,
[tex]\begin{aligned}P\left( H \right)&= \frac{1}{2} \times \frac{1}{2} \times \frac{1}{2}\\&= \frac{1}{8}\\\end{aligned}[/tex]
The probability of getting 3 tails can be obtained as follows,
[tex]\begin{aligned}P\left( T \right) &= \frac{1}{2} \times \frac{1}{2} \times \frac{1}{2}\\&= \frac{1}{8}\\\end{aligned}[/tex]
The probability of flipping 3 coins on the same side can be obtained as follows,
[tex]\begin{aligned}P\left({{\text{Head or Tail}}} \right)&= P\left( H \right) + P\left( T \right)\\&= \frac{1}{8} + \frac{1}{8}\\&= \frac{2}{8}\\&= \frac{1}{4}\\\end{aligned}[/tex]
The probability of flipping 3 coins on the same side is [tex]\boxed{\frac{1}{4}{\text{ or 0}}{\text{.25}}}.[/tex]
Learn more:
- Learn more about normal distribution https://brainly.com/question/12698949
- Learn more about standard normal distribution https://brainly.com/question/13006989
- Learn more about confidence interval of meanhttps://brainly.com/question/12986589
Answer details:
Grade: College
Subject: Mathematics
Chapter: Probability
Keywords: Probability, flipping, coins, 3 coins, flipping coins, same side, heads, tails, decimal, answer, rounding, all tails, all heads.
