Questions: Which of the following could be a probability? 2.9 -0.41379310344828 0.3448275862069 2.3793103448276

Solution Steps

A probability is a measure of the likelihood that an event will occur. It must satisfy the following conditions:

1. The probability of an event is a number between 0 and 1, inclusive. That is, $0 \leq P(A) \leq 1$.
2. The probability of an impossible event is 0.
3. The probability of a certain event is 1.

We are given the following numbers:

1. $2.9$
2. $-0.41379310344828$
3. $0.3448275862069$
4. $2.3793103448276$

We need to determine which of these numbers could be a probability.

1. $2.9$:

   • This number is greater than 1, which violates the condition $0 \leq P(A) \leq 1$.
   • Therefore, $2.9$ cannot be a probability.

2. $-0.41379310344828$:

   • This number is negative, which violates the condition $0 \leq P(A) \leq 1$.
   • Therefore, $-0.41379310344828$ cannot be a probability.

3. $0.3448275862069$:

   • This number is between 0 and 1, satisfying the condition $0 \leq P(A) \leq 1$.
   • Therefore, $0.3448275862069$ could be a probability.

4. $2.3793103448276$:

   • This number is greater than 1, which violates the condition $0 \leq P(A) \leq 1$.
   • Therefore, $2.3793103448276$ cannot be a probability.

Final Answer