12 points!!!?

Question

Two 6-sided number cubes are rolled 270 times. The sum of 5 comes up 42 times. To the nearest hundredth, what is the experimental probability of rolling a sum of five? What is the theoretical probability of rolling a 5? Compare the 2 results.

Answer 1

The experimental probability is the probability obatained by comparing the number of 5's were rolled with the number of rolls:

42/270 = 0.16 (to the nearest hundredth)

The theoretical probability is the probability that 5 would come up in one roll. This is determined by comparing all possible ways to get 5 with all possible different rolls:

A 5 can be either 1 and 4, 2 and 3, 3 and 2, or 4 and1.
So there are 4 possible ways to get 5 on one roll.

Each cube has 6 numbers, so there are 6 * 6 = 36 possible different rolls.

So the theoretical probability is 4/36 = 0.11 (rounded to the nearst hundredth)

Answer 2

There are 36 possible configurations with 2 six sided dice. 4 of those combinations add up to 5 ( 1&4, 4&1, 2&3 and 3&2). So I'd say the odds of rolling a combination that adds up to 5 would be 4 in 36 or 1/9 or 0.11%.

Answer 3

S=2 -->P(2)=1/36
S=3 -->P(3)=2/36
S=4--> P(4)=3/36
S=5 -->P(5)=4/36.......

p=P(S=5)=4/36=1/9
q=1-p=8/9


42 of 270~ 0.16

X=nº comes up 5 in 270 roll. ~ Bi(270, p)
P(X=42)=270C42·p^42·q^228

E=n·p·q=270·1/9·8/9=26.666666 << 42

Answer 4

Experimental probability would be 42/270
Theoretical probability would be 4/36

There are 36 possible outcomes when rolling a pair of dice.
To get 5 (1,4)(4,1)(2,3)(3,2) are the four ways out of a possible 36 different outcomes. Divide the denominator into the numerator to get the decimal for each one. Compare the decimals. Have fun!

Answer 5

5/42%

Oh yeah!

I went to college.





BAM!@#$&







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I don't know.