Maths · Probability: Probability of an event, addition and multiplication theorems of probability
Two aeroplanes and bomb a target in succession. The probability of and scoring a
Two aeroplanes \( I \) and \( I I \) bomb a target in succession. The probability of \( \boldsymbol{I} \) and \( I I \) scoring a hit correctly are 0.3 and 0.2 respectively. The second plane will bomb only if the first misses the target. The probability that the target is hit by the second plane is
- A. 0.06
- B. 0.14
- C. 0.32
- D. 0.7
Step-by-step solution
The target is hit by the second plane only if the first misses and the second hits. Probability first misses = 1 - 0.3 = 0.7. Probability second hits = 0.2. Required probability = 0.7 × 0.2 = 0.14.
Related MCQs
- If and are independent events such that <\mathbf{1}, \mathbf{0}<\boldsymbol{P}(\boldsymbol{B})<\mathbf{1}, \) then This question has multipl…
- What is the probability of selecting two spade cards from a pack of 52 cards?…
- If =\boldsymbol{P}(\boldsymbol{B}), \) then the two events and are -…
- The length of life of an instrument produced by a machine has a normal distribution with a mean of 12 months and standard deviation of 2 mon…
- The probability of an even happens in one trial of an experiment is Three independent trials of the experiments are performed. Find the prob…