Angela rolls a twenty-sided die, where each side of the die has a distinct integer value from 1 to 20. If Angela rolls the die one time, what is the probability that Angela will roll a number that is a multiple of 5 ?

Respuesta :

1/5

Step-by-step explanation:

here

total side=20

multiple of 5 from 1 to 20=4

probability=number of side with multiple of 5/ total

=4/5

=1/5

msm555

Answer:

[tex]\sf \dfrac{1}{5} [/tex]

Step-by-step explanation:

To find the probability of rolling a number that is a multiple of 5 on a twenty-sided die, we first need to determine how many multiples of 5 are there in the range from 1 to 20.

Multiples of 5 in this range are 5, 10, 15, and 20.

So, there are 4 favorable outcomes (rolling a multiple of 5) out of a total of 20 possible outcomes (each side of the die).

The probability (P) is given by the formula:

[tex]\sf P = \dfrac{\textsf{Number of Favorable Outcomes}}{\textsf{Total Number of Possible Outcomes}} [/tex]

Substitute in the values:

[tex]\sf P = \dfrac{4}{20} [/tex]

Simplify the fraction:

[tex]\sf P = \dfrac{1}{5} [/tex]

Therefore, the probability that Angela will roll a number that is a multiple of 5 is:

[tex]\sf \dfrac{1}{5} [/tex]