Respuesta :
The probability of rolling a 2 on the number cube and the coin landing on tails will be 0.0044%.
What is probability?
Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.
Abel uses a probability simulator to roll a six-sided number cube 100 times and to flip a coin 100 times.
The results of the experiment are shown below:
[tex]\begin{matrix}\rm Number\ on\ face & \rm Number \ of\ times \\\\1 & 12 \\\\2 & 18 \\\\3 & 30 \\\\4 & 22 \\\\5 & 10 \\\\6 & 8 \\\end{matrix}[/tex]
Heads = 34
Tails = 66
Then the probability of rolling a 2 on the number cube and the coin landing on tails will be
The probability of getting 2 on dice will be
[tex]\rm p = \dfrac{1}{6}\\[/tex]
Then we have
[tex]\rm P(A) = \ ^{100}C_{18} \times \left ( \dfrac{1}{6} \right )^{18} \left ( 1- \dfrac{1}{6} \right )^{100-18}\\\\P(A) = 0.097[/tex]
The probability of getting a tail will be
[tex]\rm p = \dfrac{1}{2}[/tex]
Then we have
[tex]\rm P(B) = \ ^{100}C_{66} \times \left ( \dfrac{1}{2} \right )^{66} \left ( 1- \dfrac{1}{2} \right )^{100-66}\\\\P(B) = 0.000458[/tex]
Then the probability will be
[tex]\rm P(A \cap B) = P(A)P(B)\\\\P(A \cap B) = 0.097 \times 0.000458\\\\P(A \cap B) = 0.0000444 \ or \ 0.0044 \%[/tex]
More about the probability link is given below.
https://brainly.com/question/795909
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Answer:
18/100
Step-by-step explanation:
this is the answer because if we have a total number of flips is 100 and if we want to know the average percent is 18/100 is our answer your welcome :D
