The probability of rolling a number greater than 4 on a fair 6-sided die is 1/3, calculated by dividing the number of successful outcomes (2, as only 5 and 6 are greater than 4) by the total number of outcomes (6 as it's a 6-sided die).
To find the probability of rolling a number greater than 4 on a 6-sided die, we first need to identify the total number of possible outcomes. Since it's a standard 6-sided die, this would be 6. Then, we consider the number of outcomes that fulfill the condition, which in this case is rolling a number greater than 4. This leaves us with 2 successful outcomes (5 and 6). Therefore, the probability of this event is calculated as follows:
Probability = Number of successful outcomes / Total number of outcomes = 2 / 6 = 1 / 3
So, the probability of rolling a number greater than 4 on a 6-sided die is 1/3.
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B. 405
C. 1,215
The fifth term of a sequence whose first term is 5 and whose common ratio is 3 will be 405. Then the correct option is B.
A series of non-zero integers where every term after the first is obtained by increasing the one before it by a constant, non-zero value known as the scale factor.
Let a₁ be the first term and r be the common ratio.
Then the nth term of the geometric sequence is given as,
aₙ = a₁ · (r)ⁿ⁻¹
The first term is 5 and its common ratio is 3. Then the formula is given as,
aₙ = 5 · (3)ⁿ⁻¹
The fifth term of a sequence will be given as,
a₅ = 5 · (3)⁵⁻¹
a₅ = 5 · (3)⁴
a₅ = 5 · 81
a₅ = 405
The fifth term of a sequence whose first term is 5 and whose common ratio is 3 will be 405. Then the correct option is B.
More about the geometric sequence link is given below.
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