Discover answers to your most pressing questions at Westonci.ca, the ultimate Q&A platform that connects you with expert solutions. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

A bag contains 30 red, 40 blue, and 50 white buttons. You pick one button at random. Find the probability that it is not blue.

P(not blue) = _____


Sagot :

Certainly! Let's go through the problem step-by-step to find the probability of picking a button that is not blue from the bag.

1. Determine the Total Number of Buttons:
- The bag contains 30 red buttons, 40 blue buttons, and 50 white buttons.
- To find the total number of buttons in the bag, we add these amounts together:
[tex]\[ \text{Total buttons} = 30 + 40 + 50 = 120 \][/tex]

2. Find the Number of Blue Buttons:
- According to the problem, there are 40 blue buttons in the bag.

3. Calculate the Probability of Picking a Blue Button:
- The probability of picking a blue button is the ratio of the number of blue buttons to the total number of buttons:
[tex]\[ P(\text{blue}) = \frac{\text{Number of blue buttons}}{\text{Total number of buttons}} = \frac{40}{120} = \frac{1}{3} \approx 0.3333 \][/tex]

4. Calculate the Probability of Not Picking a Blue Button:
- The probability of not picking a blue button is the complement of the probability of picking a blue button. This means it is one minus the probability of picking a blue button:
[tex]\[ P(\text{not blue}) = 1 - P(\text{blue}) = 1 - \frac{1}{3} = \frac{2}{3} \approx 0.6667 \][/tex]

Thus, the probability of picking a button that is not blue from the bag is:
[tex]\[ P(\text{not blue}) = \frac{2}{3} \approx 0.6667 \][/tex]
Thank you for your visit. We are dedicated to helping you find the information you need, whenever you need it. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. We're here to help at Westonci.ca. Keep visiting for the best answers to your questions.