Question

the set of all possible outcomes in a probability experiment is known as the

calculating the
of two independent events involves
multiplying the probabilities of each event.

the odds of an event compare the likelihood of the event occurring to it
occurring.

the
of rolling a specific number on a six - sided die is
1/6.

real - world applications of probability include weather forecasting, insurance risk
assessment, and
market analysis.

Explanation:

• First blank: In probability, the set of all possible outcomes is called the sample space.
• Second blank: For two independent events \(A\) and \(B\), \(P(A\cap B)=P(A)\times P(B)\), so it's the probability of the intersection (or joint - probability).
• Third blank: Odds compare the likelihood of an event occurring to it not occurring. If the probability of an event \(E\) is \(P(E)\), the odds in favor of \(E\) is \(\frac{P(E)}{1 - P(E)}\).
• Fourth blank: The probability of rolling a specific number (e.g., \(1\)) on a six - sided die (with \(n = 6\) equally likely outcomes) is calculated as \(P=\frac{1}{6}\).
• Fifth blank: Another real - world application of probability is in stock market analysis (or financial market analysis) where probabilities are used to predict price movements etc.

Answer:

1. sample space
2. intersection (or joint - probability)
3. not
4. probability
5. stock (or financial)