Question

S = [1, 2, 3, 5, 6] A = the number is At least 3 L = number Less than 6 E = number is Even B = number is a One Find the P(B) = [____]

Answer 1

The probability P(B) where B is the event that a number is a one in a sample space S = [1, 2, 3, 5, 6] is calculated by dividing the number of favorable outcomes (1) by the total number of outcomes (5), which results in P(B) = 1/5 or 0.2.

Step-by-step explanation:

Calculating Probability

The question involves finding the probability, P(B), where B represents the event that a number is a one within the sample space S = [1, 2, 3, 5, 6]. In this context, we identify the outcomes in S that match the event B. The only number that is a one in S is '1'. Therefore, there is one favorable outcome for event B out of the 5 possible outcomes in the sample space S.

The probability of an event is calculated as the number of favorable outcomes divided by the total number of outcomes in the sample space. So, P(B) is calculated as:

Count the favorable outcomes for event B: 1 (the number one)

Count the total number of outcomes in S: 5 (the numbers 1, 2, 3, 5, 6)

Divide the number of favorable outcomes by the total number of outcomes: P(B) = 1 / 5

This gives us the probability of event B (number is a one) as 20% or 0.2.