0.76
To solve the problem, we need to use the principle of inclusion-exclusion to find the probability that a family owns either a laptop or a desktop.
Let:
- \(P(L)\) be the probability that a family owns a laptop = 0.68
- \(P(D)\) be the probability that a family owns a desktop = 0.56
- \(P(L \cap D)\) be the probability that a family owns both a laptop and a desktop = 0.48
We are required to find the probability that a family owns a laptop or a desktop. This is denoted by \(P(L \cup D)\), and the formula for this probability is:
\(P(L \cup D) = P(L) + P(D) - P(L \cap D)\)
Now, substituting the given values into the formula:
\(P(L \cup D) = 0.68 + 0.56 - 0.48\)
Simplifying this expression:
\(P(L \cup D) = 1.24 - 0.48 = 0.76\)
Therefore, the probability that a randomly selected family owns either a laptop or a desktop is 0.76.
Conclusion: The correct answer is 0.76, which corresponds to the first option.
Similar Questions
- What is the probability that getting a total of the numbers on the dice is 6 ?
- What is the probability that getting a total of the numbers on the dice is at least 23 ?
- In a sample survey of a village, the probability that a farmer is in debt is 0.60. What is the probability that three randomly selected farmers are all in debt (assume independence of events)?
Important Questions from Probability
Two dice are thrown simultaneously and the sum of the numbers appearing on them is noted. What is the probability that the sum is 12?
If a box contains 3 white cushions, 4 red cushions and 5 blue cushions, what is the probability of selecting a white or blue cushion?
A. 2/3
B. 3/4
C. 1/4
D. 1/9Statements followed by some conclusions are given below.
Statements:
1. A bag has 2 white, 3 black, 4 red and 6 green balls.
2. 1 ball selected at random from the bag.
Conclusions:
I. The probability that a black ball is selected is 1/5
II. The probability that a red ball is selected is 6/15
Find which of the conclusions logically follows from the given statement
A. Only conclusion I follows.
B. Only conclusion II follows.
C. Both I and II follow.
D. Neither I nor II follows.
In a shooting test, the probabilities of hitting the target are 1/2 for A, 2/3 for B and 3/4 for C. If they fire at the same target, what is the probability that only one of them hits the target?
A bag contains balls numbered from 1 to 42. One ball is drawn at random from these balls. The probability that its number is a multiple of 7 or 8 is:
