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Ket [755]
3 years ago
9

PLS HELP BY TOMORROW!A dice has sides numbered 1-6. What is the probability of landing of double threes?

Mathematics
2 answers:
Artemon [7]3 years ago
6 0

Answer:

1/6

The probability of rolling a specific number twice in a row is indeed 1/36, because you have a 1/6 chance of getting that number on each of two rolls (1/6 x 1/6). The probability of rolling any number twice in a row is 1/6, because there are six ways to roll a specific number twice in a row (6 x 1/36).

Harrizon [31]3 years ago
5 0

Answer:

0.46% I think I got it wrong and I'm kinda sure bout it

Step-by-step explanation:

So on any turn, the probability of rolling a double is 6/36 = 1/6. Now each roll of the dice is independent. So the probability that any given turn will result in the rolling of doubles three times in a row is (1/6) x (1/6) x (1/6) = 1/216. This is approximately 0.46%

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vredina [299]

Answer:

f = 6

Step-by-step explanation:

5/6F=5

Multiply each side by 6/5 to isolate f

6/5 * 5/6F=5*6/5

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Each person in random samples of 207 male and 253 female working adults living in a certain town in Canada was asked how long, i
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Answer:

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that the mean daily conmute time for males is significantly bigger than the mean daily conmute time for females (P-value=0.155).

Step-by-step explanation:

The data is:

Males n1=207 M1=31.6 s1=24.0

Females n2=253 M2=29.3 s2=24.3

This is a hypothesis test for the difference between populations means.

The claim is that the mean daily conmute time for males is significantly bigger than the mean daily conmute time for females.

Then, the null and alternative hypothesis are:

H_0: \mu_m-\mu_f=0\\\\H_a:\mu_m-\mu_f> 0

The significance level is 0.05.

The sample 1 (males), of size n1=207 has a mean of 31.6 and a standard deviation of 24.

The sample 2 (females), of size n2=253 has a mean of 29.3 and a standard deviation of 24.3.

The difference between sample means is Md=2.3.

M_d=M_m-M_f=31.6-29.3=2.3

The estimated standard error of the difference between means is computed using the formula:

s_{M_d}=\sqrt{\dfrac{\sigma_1^2}{n_1}+\dfrac{\sigma_2^2}{n_2}}=\sqrt{\dfrac{24^2}{207}+\dfrac{24.3^2}{253}}\\\\\\s_{M_d}=\sqrt{2.783+2.334}=\sqrt{5.117}=2.262

Then, we can calculate the t-statistic as:

t=\dfrac{M_d-(\mu_m-\mu_f)}{s_{M_d}}=\dfrac{2.3-0}{2.262}=\dfrac{2.3}{2.262}=1.017

The degrees of freedom for this test are:

df=n_1+n_2-1=207+253-2=458

This test is a right-tailed test, with 458 degrees of freedom and t=1.017, so the P-value for this test is calculated as (using a t-table):

P-value=P(t>1.017)=0.155

As the P-value (0.155) is bigger than the significance level (0.05), the effect is not significant.

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that the mean daily conmute time for males is significantly bigger than the mean daily conmute time for females.

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