Given:
Ellen flipped a coin 80 times. The coin landed heads up 44 times and tails up 36 times.
To find:
The theoretical and experimental probabilities of the coin landing tails up and compare them.
Solution:
We know that, the coin landed either heads up or tails up. So, the theoretical probabilities of the coin landing tails up is
[tex]P(T)=\dfrac{Tails}{Total}[/tex]
[tex]P(T)=\dfrac{1}{2}[/tex]
[tex]P(T)=0.5[/tex]
Ellen flipped a coin 80 times. The coin landed heads up 44 times and tails up 36 times.
Total = 80
Tails =36
The experimental probabilities of the coin landing tails up is
[tex]P(T)=\dfrac{Tails}{Total}[/tex]
[tex]P(T)=\dfrac{36}{80}[/tex]
[tex]P(T)=0.45[/tex]
Therefore, the theoretical and experimental probabilities of the coin landing tails up are 0.5 and 0.45 respectively. The theoretical probability is greater than the experimental probability.
