The table gives a set of outcomes and their probabilities. Let A be the event "the outcome is a divisor of 2". Let B be the event "the outcome is divisible by 4". Find P(A or B).Outcome Probability1 0.022 0.253 0.24 0.465 0.07
Question
The table gives a set of outcomes and their probabilities. Let A be the event "the outcome is a divisor of 2". Let B be the event "the outcome is divisible by 4". Find P(A or B).Outcome Probability1 0.022 0.253 0.24 0.465 0.07
Solution
The first step is to identify the outcomes that satisfy events A and B.
Event A includes outcomes that are divisors of 2. The divisors of 2 are 1 and 2. So, the outcomes that satisfy event A are 1 and 2.
Event B includes outcomes that are divisible by 4. The only number in our outcomes that is divisible by 4 is 4.
So, the outcomes that satisfy event A or B are 1, 2, and 4.
The next step is to find the probabilities of these outcomes.
The probability of outcome 1 is 0.02, the probability of outcome 2 is 0.25, and the probability of outcome 4 is 0.46.
The probability of event A or B is the sum of the probabilities of these outcomes.
So, P(A or B) = P(1) + P(2) + P(4) = 0.02 + 0.25 + 0.46 = 0.73.
Therefore, the probability of event A or B is 0.73.
Similar Questions
The table gives a set of outcomes and their probabilities. Let A be the event "the outcome is divisible by 4". Find P(A).Outcome Probability1 0.012 0.123 0.114 0.095 0.146 0.027 0.328 0.19
The table gives a set of outcomes and their probabilities. Let A be the event "the outcome is a divisor of 2". Find P(A).Outcome Probability1 0.092 0.253 0.094 0.075 0.226 0.027 0.048 0.049 0.0210 0.16
The table gives a set of outcomes and their probabilities. Let A be the event "the outcome is less than or equal to 2". Let B be the event "the outcome is greater than or equal to 4". Find P(A or B).Outcome Probability1 0.152 0.043 0.044 0.665 0.11
The table gives a set of outcomes and their probabilities. Let A be the event "the outcome is a divisor of 10". Find P(A).Outcome Probability1 0.012 0.123 0.224 0.315 0.246 0.037 0.018 0.039 0.0210 0.01Submit
The table gives a set of outcomes and their probabilities. Let A be the event "the outcome is a divisor of 8". Find P(A).Outcome Probability1 0.052 0.33 0.164 0.015 0.056 0.137 0.048 0.079 0.19
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.