Two doctors
Doctor A will determine the correct diagnosis with a probability of 89% and doctor B with a probability of 75%. Calculate the probability of proper diagnosis if both doctors diagnose the patient.
Correct answer:
Showing 1 comment:
Math student
To calculate the probability of proper diagnosis if both doctors diagnose the patient, we can use the multiplication rule of probability:
P(A and B) = P(A) * P(B)
where P(A and B) is the probability that both doctors A and B diagnose the patient correctly, P(A) is the probability that doctor A diagnoses the patient correctly, and P(B) is the probability that doctor B diagnoses the patient correctly.
We are given that the probability of correct diagnosis by doctor A is 0.93 (or 93%) and the probability of correct diagnosis by doctor B is 0.79 (or 79%). Therefore:
P(A) = 0.93
P(B) = 0.79
To find the probability that both doctors diagnose the patient correctly, we multiply the probabilities:
P(A and B) = P(A) * P(B) = 0.93 * 0.79 = 0.7347
Therefore, the probability of proper diagnosis if both doctors diagnose the patient is approximately 0.7347 or 73.47%.
P(A and B) = P(A) * P(B)
where P(A and B) is the probability that both doctors A and B diagnose the patient correctly, P(A) is the probability that doctor A diagnoses the patient correctly, and P(B) is the probability that doctor B diagnoses the patient correctly.
We are given that the probability of correct diagnosis by doctor A is 0.93 (or 93%) and the probability of correct diagnosis by doctor B is 0.79 (or 79%). Therefore:
P(A) = 0.93
P(B) = 0.79
To find the probability that both doctors diagnose the patient correctly, we multiply the probabilities:
P(A and B) = P(A) * P(B) = 0.93 * 0.79 = 0.7347
Therefore, the probability of proper diagnosis if both doctors diagnose the patient is approximately 0.7347 or 73.47%.
Tips for related online calculators
Our percentage calculator will help you quickly calculate various typical tasks with percentages.
Would you like to compute the count of combinations?
Would you like to compute the count of combinations?
You need to know the following knowledge to solve this word math problem:
Related math problems and questions:
- Brian
Brian divides 80 by 7. Between what two whole numbers is his answer? - Wholes add to a mixed
What is 5 wholes + 1 and 3/8? Give your answer as a whole number or as a mixed number in its simplest form. - Decadic number
What is the expanded form of this number? 18.029 A: (1x10)+(8x1)+(2x1/10)+(9x1/100) B: (1×10)+(8×1)+(2×1/10)+(9×1/1,000) C: (1×10)+(8×1)+(2×1/100)+(9×1/1,000) D: (1×10)+(8×1)+(2×11/00)+(9×1/100) - Three 232
Three out of eleven working mothers in a major US city have at least one child under the age of Five(5). If there are 2,250 mothers employed in that city, how many have at least one child under the age of five? (round to nearest whole number) - Evaluate expression
What is: the sum of negative four and one-half times n plus the quantity one-fourth plus one and three-fourths times n minus three-eighths? - Sum of absolute values
Is it possible for |r| + |s| = |r+s|? If so, when? - Ordered pairs
Given: Set T = {(1,2), (2,3), (3,4), (4,5), (5,5), (6,7), (6,6), (7,8), (8,9), (9,9), (9, 10), (11,12), (12,13), (13,14), (15,16), (16,16), (17,18), (18,19), (20,21)} Find the probability of having an ordered pair wherein the second element is greater tha - Significant figures
How many significant figures are present in each of the measured quantities? A. 0.0012 B. 900.0 C. 108 D. .0012 E. 2006 F. 0.002070 - The expression
What is the value of the expression ((6²+60))/(23) - Estimate
Estimate the answer by rounding each fraction to the nearest whole number and then subtracting. 9/15 - 2 7/8 - The length 6
The length of 12 pipes is 10 1/2 meters. (1) find the length of one pipe (2) also find the length of 7 pipes - Bubble bee marbles
Mark has 100 marbles. Seventeen are bubble bee marbles. What decimal number shows the fraction of marbles that are bumblebees? - Boys and girls
If the ratio of male & female teachers is 2/5 & it is in the proportion of the male & female students, how many are girls if there are 42 boys? - A bottle 2
A bottle contains 255 coins 1/3 of the coins are £1 cons 110 of the coins are 50p coins the rest of the coins are 20p coins. What is the total value of the coins contained in the bottle? - Each year
Each year, Mr. Baumann purchases enough paper for his 16 students. If each student uses 3/4 packs of paper, how many packs will he need to buy? Answer as a mixed number or as a whole number. - Sandy
Sandy, John, and Marg baked pies for the Bake Sale. Sandy cut his pies into 6ths, John cut his into 8ths, and Marg cut hers into quarters. Sandy sold 11/6, John sold 1 3/8 pies, and Marg sold 9/4 pies. Who sold the most pies? Who sold the fewest? - Submerging
Monika dove 9 meters below the ocean's surface. She then dove 13 meters deeper. Then she rose 19 and one-fourth meters. What was her position concerning the water's surface (the water surface = 0, minus values = above water level, plus = above water level