Two groups performed an experiment separately by tossing a coin in the air. Group P performed 50 trials and group Q performed 100 trials. Each group recorded the results in the table below:
Group Heads Tails
P 35 15
Q 53 47
What conclusion can be drawn about the number of trials and the probability of the coin landing on heads or tails?
The experimental probability and the theoretical probability for group P is the same.
The experimental probability and the theoretical probability for group Q is the same.
The experimental probability is closer to the theoretical probability for group Q than group P.
The experimental probability is closer to the theoretical probability for group P than group Q.
Answers
Answer:
The conclusion that can be drawn about the number of trials and probability of the coin landing on heads or tails is:
The experimental probability is closer to the theoretical probability for group Q than group P.
Step-by-step explanation:
We know that the theoretical probability for choosing a coin on heads or tails is:
1/2=50%
( Since, there are only two possibilities on tossing a coin either head or tail comes up)
Now, for group P the experimental frequency is:
Group Heads Tail
P 35 15
Hence, Probability(getting head)=35/50=0.7
in percent it is: 70%
and the Probability(getting tail)=15/50=0.3
in percent it is: 30%
Similarly,
Group Heads Tail
Q 53 47
Hence, Probability(getting head)=53/100=0.53
in percent it is: 53%
and the Probability(getting tail)=47/100=0.47
in percent it is: 47%
The experimental probability is closer to the theoretical probability for group Q than group P.
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