Home
Class 12
MATHS
In a hurdle race, a player has to cross ...

In a hurdle race, a player has to cross 10 hurdles. The probability that he will clear each hurdle is `(5)/(6)`. What is the probability that he will knock down fewer than 2 hurdles?

Text Solution

Verified by Experts

The correct Answer is:
`(5^(10))/(2 xx 6^(9))`
Promotional Banner

Similar Questions

Explore conceptually related problems

A doctor is to visit a patient. From the past experience, it is known that the probabilities that he will come by train, bus, scooter or by other means of transport are respectively (3)/(10), (1)/(5), (1)/(10) and (2)/(5) . The probabilities that he will be late are (1)/(4), (1)/(3) and (1)/(12) , if he comes by train, bus and scooter respectively, but if he comes by other means of transport, then he will not be late. When he arrives, he is late. What is the probability that he comes by train?

A game of chance consists of spinning an arrow which comes to rest pointing at one of the numbers 1, 2, 3, 4, 5, 6, 7, 8 and these are equally likely outcomes. What is the probability that it will point at a number greater than 2 ?

A game of chance consists of spinning an arrow which comes to rest pointing at one of the numbers 1, 2, 3, 4, 5, 6, 7, 8 and these are equally likely outcomes. What is the probability that it will point at an number less than 9 ?

A laboratory blood test is 99% effective in detecting a certain disease when it is in fact present. However, the test also yields a false positive result for 0 . 5 % of the healthy person tested (i.e., if a healthy person is tested, then with probability 0 . 005, the test will imply he has the disease). If 0 . 1 % of the population actually has the disease, what is the probahility that a person has disease given that his test result is positive ?

Cards each marked with one of the numbers 6,7,8 . . .15 are placed in the box and mixed throughly. One card is drawn at the random from the box. What is the probability of getting a card with number less than 10 ?

An urn contains 25 balls of which 10 balls bear a mark 'X' and the remaining 15 bear a mark 'Y'. A ball is drawn at random from the urn, its mark is noted down and it is replaced. If 6 balls are drawn in this way, find the probability that (i) all will bear 'X' mark. (ii) not more than 2 will bear 'Y' mark. (iii) at least one ball will bear 'Y' mark.  (iv) the number of balls with 'X' mark and 'Y' mark will be equal.

In a class, 30% students fail in English, 20% students fail in Hindi and 10% students fail in both English and Hindi. A student is chosen at random, then what is the probability he fail in English, if he has failed in Hindi?

A game of chance consists of spinning an arrow which comes to rest pointing at one of the nimbers 1, 2, 3, 4, 5, 6, 7, 8 (see figure) and these are equally likely outcomes. What is the probability that it will point at: (i) 8? (ii) an odd number? (iii) a number greater than2 ? (iv) a number less than 9?

A man speaks truth 2 out of 3 times. He picks one of the natural numbers in the set S={1,2,3,4,5,6,7} and reports that it is even. The probability that it is actually even is