carsengilbert
28.07.2019 •
Mathematics
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.
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Ответ:
Theoretical probability;
Head = 1/2 or 50%
Tail = 1/2 or 50%
Group Heads Tails Total
A 35 15 50
B 53 47 100
Experimental probability:
Group P:
Heads : 35/50 = 70%
Tails: 15/50 = 30%
Group Q:
Head: 53/100 = 53%
Tails: 47/100 = 47%
The experimental probability and the theoretical probability for group Q is the same
Ответ:
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:
GroupHeadsTail
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,
GroupHeadsTail
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.Ответ:
a
Step-by-step explanation:
the formula of the equation is y=mx+n; and if m=1/2 and n=-1 then it's y=1/2x-1