Question

a company is planning to hire 12 new employees. a simulation is run to determine 12 random birthdays using numbers to represent the days of the year (january 1 = 1 through december 31 = 365). based on the simulation, what is the probability that a randomly selected employee will have a birthday in the first 100 days of the year?
344 180 274 358 64 121 32 96 151 275 93 49
(1 point)
0.417
0.583
0.333
0.120

Explanation:

Step1: Count the number of birthdays in the first 100 days

Numbers less than or equal to 100: 64, 32, 96, 93, 49. So there are 5 such numbers.

Step2: Calculate the probability

Probability formula: \(P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\). Here, total number of outcomes \(n = 12\), number of favorable outcomes \(m=5\). So \(P=\frac{5}{12}\approx0.417\)

Answer:

0.417