Question

1. a bag contains 82 marbles, some of which are black and some of which are white. if the probability of selecting a black marble is \\(\frac{27}{41}\\), find: 6a the number of black marbles. = enter your next step here

Explanation:

Step1: Recall probability formula

The probability of an event is given by \( P = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} \). Here, favorable outcomes are black marbles, total outcomes are total marbles. Let \( n \) be the number of black marbles. So \( \frac{n}{82}=\frac{27}{41} \).

Step2: Solve for \( n \)

Cross - multiply: \( n=\frac{27\times82}{41} \). Simplify \( \frac{82}{41} = 2 \), so \( n = 27\times2=54 \).

Answer:

54