Question

Identify the expression that represents the probability of picking a blue ball first and then a pink ball without replacement. Then find the probability of picking a blue ball and then a pink ball if the bag originally contains 5 pink balls. Round to the nearest hundredth."

Option a: 8/13; 0.62
Option b: 1/8; 0.12
Option c: 5/13; 0.38
Option d: 2/5; 0.40

Answer 1

The probability of picking a blue ball first and then a pink ball without replacement can be calculated using the given expression. In this case, the probability is approximately 0.28.

Step-by-step explanation:

The probability of picking a blue ball first and then a pink ball without replacement can be represented by the expression:

P(blue and pink) = (number of blue balls / total number of balls) * (number of pink balls / (total number of balls - 1))

In this case, the bag originally contains 5 pink balls. So, the probability can be calculated as:

P(blue and pink) = (4 / 9) * (5 / 8) = 20 / 72 = 0.28

Rounding to the nearest hundredth, the probability is approximately 0.28.