What is the probability of rolling the sum of 5 or 8 on a pair of number cubes?

2 answers:

7 0

$|\Omega|=6^2=36\\|A|=\underbrace{4}_{\text{the sum is 5}}+\underbrace{5}_{\text{the sum is 8}}=9\\\\P(A)=\dfrac{9}{36}=\dfrac{1}{4}=25\%$

butalik [34]3 years ago

5 0

The probability of rolling a 5 is 4/36 (reduced to 1/9) and the probability of rolling an eight is 5/36. Rolling either would be 9/36 (reduced to 1/4)

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The theoretical probability of the coin landing heads up is 0.5.

We have given that,Isla flipped a coin 30 times.

The coin landed heads up 9 times and tails up 21 times.

We have to determine,What is the theoretical probability of the coin landing heads up?

<h3>What is the meaning of theoretical probability?</h3>

Theoretical probability is probability that is determined on the basis of reasoning. Experimental probability is probability that is determined on the basis of the results of an experiment repeated many times.

By using the theoretical probability concept assuming it means a percentage, so to turn a fraction into a percentage the top by the bottom (9÷30) and multiply by 100

. $\frac{9}{30}* 100=90%$

And, to turn a fraction into a percentage the top by the bottom (9÷30) and multiply by 100.

$\frac{9}{21} *100=42.86%$

It depends on if it wants a basic probability on how many times it will land on heads, if it does use 42.86%. If it wants a probability out of 30 it's 30%.

The theoretical probability of the coin landing heads up is given by,

$=\frac{50}{100}\\ =\frac{1}{2} \\=0.5$