What is the probability of getting a 4 each time if a die is rolled 3 times? a. 1/216 b. 1/120c. 1/1296d. 3/6

The correct answer option is b. 1/216.

Step-by-step explanation:

The probability of getting a 4 when a die is rolled is which can be written as:

P (4) =

So to find the probability of getting a 4 each time if a die is rolled 3 times, we will multiply the probability of getting a 4 by 3.

P (getting a 4 each time when die is rolled 3 times) = = 1/216

a. 1/216

Step-by-step explanation:

To solve this problem let's call h the probability of getting a 4 when throwing a die.

Each throw of the die is an independent event, since the result obtained by throwing the dice the first time, does not condition the result obtained by throwing the die a second time.

The probability of h is:

P(h) = 1/6 (because the die has six faces)

We want to know the probability of getting a 4 three consecutive times. Since the events are independent, then this is:

P (h and h and h) = P (h)*P(h)*P (h)

P (h and h and h) = (1/6) ^ 3

P (h and h and h) = (1/6) ^ 3

P (h and h and h) = 1/216

the correct answer is a) "catholic church".

the proposals that liberals in mexico made during 1855 were particularly focused on a person's individual rights, such as the freedom of speech, the freedom of conscience, freedom of assembly, and the right to possess weapons.

when the constitution was formally published 2 years later (1857). it also contained an article which permitted education free from any religious influence, the removal of the catholic church institutional privileges, and the sale of property belonging to the church. all of these provisions were clearly against the catholic church interests.  

the answer is b.

64

step-by-step explanation:

c=2πr=2·π·8≈64