Question

if you close your eyes and choose a ball, what is the probability that it will be blue? simplify first! enter the numerator.

Explanation:

Step1: Count blue balls

There are 5 blue balls.

Step2: Count total balls

There are 15 balls in total.

Step3: Calculate probability

Probability formula: $P=\frac{\text{number of favorable outcomes}}{\text{total number of outcomes}}$. Here, number of favorable outcomes (blue balls) is 5, total number of outcomes (all balls) is 15. The fraction $\frac{5}{15}$ simplifies to $\frac{1}{3}$, and the numerator of the simplified fraction is 1. But wait, the problem asks for the numerator before simplifying? No, no - wait, no: wait, the formula is $P = \frac{\text{blue balls}}{\text{total balls}}$. Blue balls = 5, total balls = 15. Simplify $\frac{5}{15}=\frac{1}{3}$, but if we consider the initial fraction (before simplifying as per the problem's instruction maybe mis - read: no - wait, the problem says "Simplify first!" but asks for the numerator. Wait, no - actually, no: the formula for probability is $\frac{\text{number of blue balls}}{\text{total number of balls}}$. Number of blue balls is 5.

Answer:

5