Probability of malaria

A survey carried out at a certain hospital indicates that the probability that a patient tested positive for malaria is 0.6. What is the probability that two patients selected at random
(i) one is negative while the other tested positive?
(i) both patients tested positive.

Correct result:

p₁ =  0.48
p₂ =  0.36

Solution:

$p_2=p^2=0.6^2={\displaystyle \frac{9}{25}}=0.36$

Try another example

Showing 0 comments:

Next similar math problems:

• Probability of failures
  In certain productions, the probability of failures is 0.01. Calculate the probability that there will be more than 1 failure among the 100 selected products if we return the selected products to the file after the check.
• Alopecia
  Medical literature indicates that 45% of men suffer from alopecia. For random sample of 8 men, calculate the probability that: (a) exactly four men suffer from alopecia. (b) at most two men suffer from alopecia.
• Cards
  The player gets 8 cards of 32. What is the probability that it gets a) all 4 aces b) at least 1 ace
• One green
  In the container are 45 white and 15 balls. We randomly select 5 balls. What is the probability that it will be a maximum one green?
• Genetic disease
  One genetic disease was tested positive in both parents of one family. It has been known that any child in this family has a 25% risk of inheriting the disease. A family has 3 children. What is the probability of this family having one child who inherited
• Internet anywhere
  In school, 60% of pupils have access to the internet at home. A group of 8 students is chosen at random. Find the probability that a) exactly 5 have access to the internet. b) At least 6 students have access to the internet
• Family
  94 boys are born per 100 girls. Determine the probability that there are two boys in a randomly selected family with three children.
• Six questions test
  There are six questions in the test. There are 3 answers to each - only one is correct. In order for a student to take the exam, at least four questions must be answered correctly. Alan didn't learn at all, so he circled the answers only by guessing. What
• Dice
  We throw 10 times a play dice, what is the probability that the six will fall exactly 4 times?
• Playing cards
  From 32 playing cards containing 8 red cards, we choose 4 cards. What is the probability that just 2 will be red?
• Test
  The teacher prepared a test with ten questions. The student has the option to choose one correct answer from the four (A, B, C, D). The student did not get a written exam at all. What is the probability that: a) He answers half correctly. b) He answers al
• Deficiencies
  During the hygienic inspection in 2000 mass caterers, deficiencies were found in 300 establishments. What is the probability that deficiencies in a maximum of 3 devices will be found during the inspection of 10 devices?
• Component fail
  There is a 90 percent chance that a particular type of component will perform adequately under high temperature conditions. If the device involved has four such components, determine the probability that the device is inoperable because exactly one of the
• A book
  A book contains 524 pages. If it is known that a person will select any one page between the pages numbered 125 and 384, find the probability of choosing the page numbered 252 or 253.
• Trinity
  How many different triads can be selected from the group 43 students?
• Calculation of CN
  Calculate: ?
• Fish tank
  A fish tank at a pet store has 8 zebra fish. In how many different ways can George choose 2 zebra fish to buy?