If a person has a 20% chance of contracting a disease and a 30% chance of recovery, what is the probability that the person will contract the disease and not recover? (2022)
Practice Questions
1 question
Q1
If a person has a 20% chance of contracting a disease and a 30% chance of recovery, what is the probability that the person will contract the disease and not recover? (2022)
0.14
0.06
0.1
0.2
Probability of contracting and not recovering = Probability of contracting × (1 - Probability of recovery) = 0.20 × (1 - 0.30) = 0.20 × 0.70 = 0.14.
Questions & Step-by-step Solutions
1 item
Q
Q: If a person has a 20% chance of contracting a disease and a 30% chance of recovery, what is the probability that the person will contract the disease and not recover? (2022)
Solution: Probability of contracting and not recovering = Probability of contracting × (1 - Probability of recovery) = 0.20 × (1 - 0.30) = 0.20 × 0.70 = 0.14.
Steps: 6
Step 1: Identify the probability of contracting the disease, which is 20%. Convert this percentage to a decimal: 20% = 0.20.
Step 2: Identify the probability of recovery, which is 30%. Convert this percentage to a decimal: 30% = 0.30.
Step 3: Calculate the probability of not recovering. This is done by subtracting the probability of recovery from 1: 1 - 0.30 = 0.70.
Step 4: Now, multiply the probability of contracting the disease (0.20) by the probability of not recovering (0.70): 0.20 × 0.70.
Step 5: Perform the multiplication: 0.20 × 0.70 = 0.14.
Step 6: The final result, 0.14, represents the probability that the person will contract the disease and not recover.
