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Dvinal [7]
3 years ago
11

If two dice are rolled one time find the probability A 3 on one die or both dice

Mathematics
2 answers:
Allushta [10]3 years ago
6 0

Answer:

P=\frac{13}{36}=0.361

Step-by-step explanation:

There are six possible outcomes when rolling a die. Therefore the probability of obtaining a 3 is a given is

P = \frac{1}{6}.

When throwing the two dice together, the probability of obtaining a 3 is the same:

P_1 = \frac{1}{6} * \frac{5}{6} + \frac{5}{6} * \frac{1}{6}=\frac{5}{18}

Since the events are independent then the probability of obtaining a three in both dice is:

P_2 = \frac{1}{6} * \frac{1}{6} = \frac{1}{12}.

Finally the probability of obtaining a 3 on a given or both is equal to the sum of the probabilities P_1 and P_2

P=\frac{1}{12}+\frac{5}{18}=\frac{13}{36}=0.361

Anastaziya [24]3 years ago
3 0

|\Omega|=6^2=36\\|A|=1\cdot5\cdot2+1=11\\\\P(A)=\dfrac{11}{36}\approx30.6\%

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