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mel-nik
3 months ago
12

A six-sided fair die is rolled 4 times in a row. What is the probability of getting a 4 only on the last trial?

Mathematics
2 answers:
babunello [11.8K]3 months ago
7 0
P = Number of successful outcomes resulting in 4 on the final roll / Total outcomes.
Ways to get 4 only on the last attempt = 5 * 5 * 5 * 1 = 125 (the first three rolls have 5 options that are not 4, and for the last roll, only 4 is available (1 way)). The overall total number of outcomes = 6 * 6 * 6 * 6 = 1296. Thus, P = 125/1296.


I hope this helps you. Thank you for submitting your question.
Zina [12.3K]3 months ago
7 0

Answer:

The probability is 125/1296.

Step-by-step breakdown:

I got this correct on Edmentum Plato.

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Time taken = half an hour = 30 minutes = 0.5 hours

Applying the "Unitary method, it leads to

In 0.5 hours, she is capable of painting = 60 square feet

In 1 hour, she can paint = \dfrac{60}{0.5}=120\ sq.\ feet

In i hours, she is able to paint = 120\times i\ sq.\ feet=120i\ sq.\ feet

Let’s denote the total area she can paint as 'y'.

Thus, the connection with i hours treated as the independent variable would be

y=120i

Now,  Can Serena paint 400 square feet of wall area in 3.5 hours

Substituting y = 400 and i = 3.5 hours helps us determine if they are equivalent.

400= 120\times 3.5\\\\400\neq 420

Therefore, Serena cannot paint 400 square feet of wall space in 3.5 hours.

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Assuming a fair die is rolled.

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