Practice30Create account

The probability of hitting a target in a single shot is 1/3. Four shots are fired independently. What is the probability that the target is hit exactly twice?

Competition practiceData & Probability
  • A4/81
  • B8/27
  • C11/27
  • D16/81

Step-by-Step Solution

The two hits can occur in different pairs of shots, so P(exactly 2 hits) = . Leaving out the count 6 gives 4/81, and 11/27 is the probability of at least two hits.
Answer: B) 8/27

Master this topic in 30 minutes a day.

Don't just memorise the answer — build a daily practice habit.

Practice 5 Similar Questions Free →

All Data & Probability practice questions

More Data & Probability practice

The heights 145, 150, 155, 160 and 165 cm occur with frequencies 6, 4, 10, 12 and 8.…The odds in favour of an event are 5 : 3. What is the probability that the event does…Three sections wrote the same test. Section A: students 20, mean mark 72. Section B:…The five letters of the word CHAIR are arranged at random in a row. What is the…For the data 3, 5, 7, 9, 11, 61 find the difference between the mean and the median.