A drug trial is testing the effectiveness of two drugs. If 40 patients are given Drug A, 80 patients are given Drug B, and 50 patients are given a placebo, what is the probability that a patient will not be given a placebo?

120/170

you have to reduce steves answer and the answer becomes 12/17

To find the probability that a patient will not be given a placebo, we need to calculate the total number of patients who will not be given a placebo and divide it by the total number of patients.

The total number of patients who will not be given a placebo is the sum of patients given Drug A and patients given Drug B: 40 + 80 = 120.

The total number of patients is the sum of patients given Drug A, patients given Drug B, and patients given a placebo: 40 + 80 + 50 = 170.

Therefore, the probability that a patient will not be given a placebo is 120/170 = 0.7059, which can be approximated as 70.59% or 70.6% (rounded to one decimal place).

To find the probability that a patient will not be given a placebo, we need to calculate the ratio of the number of patients not given a placebo to the total number of patients in the trial.

Given:
Number of patients given Drug A = 40
Number of patients given Drug B = 80
Number of patients given a placebo = 50

To calculate the probability, we need to sum up the number of patients given Drug A and Drug B and subtract it from the total number of patients.

Total number of patients = Number of patients given Drug A + Number of patients given Drug B + Number of patients given a placebo

Total number of patients = 40 + 80 + 50

Total number of patients = 170

Now, let's calculate the number of patients not given a placebo:

Number of patients not given a placebo = Number of patients given Drug A + Number of patients given Drug B

Number of patients not given a placebo = 40 + 80

Number of patients not given a placebo = 120

Finally, we can find the probability:

Probability = Number of patients not given a placebo / Total number of patients

Probability = 120 / 170

Probability ≈ 0.706 (rounded to three decimal places)

Therefore, the probability that a patient will not be given a placebo is approximately 0.706.