Use Counting Rules to Determine the Probability

question 45

Multiple Choice

Use counting rules to determine the probability.
-A committee of 11 members is voting on a proposal. Each member casts a yea or nay vote. On a random voting basis, what is the probability that the proposal wins by a vote of 8 to 3?

• A)0.16113
• B)0.08057
• C)0.03833
• D)0.04028

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Definitions:

Oxygen

Oxygen is a chemical element with symbol O, essential for cellular respiration in most living organisms and a key component of Earth's atmosphere.

Cyanobacteria

Photosynthetic microorganisms, also known as blue-green algae, that are important for oxygen production and are found in many aquatic environments.

Photosynthesis

The process by which green plants and some other organisms use sunlight to synthesize foods from carbon dioxide and water.

Algae

Algae is a broad and diverse group of photosynthetic, usually aquatic, organisms that range from single-celled forms to large seaweeds.