Home
Class 12
MATHS
The rule of an "obstacle course" specif...

The rule of an "obstacle course" specifies that at the `n^(th)` obstacle a person has to tos a fair 6 sided die n times. If the sum of points in these n tosses is bigger than `2^(n)`, the person is said to have crossed the obstacle.
Q. The probability that a person crosses the first three obstacles :

A

`(143)/(216)`

B

`(100)/(243)`

C

`(216)/(243)`

D

`(100)/(216)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    VK JAISWAL ENGLISH|Exercise Exercise-4 : Matching Type Problems|1 Videos

  • PROBABILITY

    VK JAISWAL ENGLISH|Exercise Exercise -5 : Subjective Type problems|11 Videos

  • PROBABILITY

    VK JAISWAL ENGLISH|Exercise Exercise-2 : One or More than One Answer is/are Correct|4 Videos

  • PERMUTATION AND COMBINATIONS

    VK JAISWAL ENGLISH|Exercise Exercise-5 : Subjective Type Problems|13 Videos

  • QUADRATIC EQUATIONS

    VK JAISWAL ENGLISH|Exercise EXERCISE (SUBJECTIVE TYPE PROBLEMS)|43 Videos

Similar Questions

Explore conceptually related problems

The rule of an "obstacle course" specifies that at the n^(th) obstacle a person has to tos a fair 6 sided die n times. If the sum of points in these n tosses is bigger than 2^(n) , the person is said to have crossed the obstacle. Q. The probability that a person crosses the first two obstacles but fails to cross the third obstacle.

A fair coin is tossed 2n times, The probability of getting as many heads in the first n tosses as in the last n is

A bag contains (2n+1) coins. It is known that n of these coins have a head on both sides whereas the rest of the coins are fair. A coin is picked up at random from the bag and is tossed. If the probability that the toss results in a head is (31)/(42) , determine the value of n .

A bag contains (2n+1) coins. It is known that n of these coins have a head on both sides whereas the rest of the coins are fair. A coin is picked up at random from the bag and is tossed. If the probability that the toss results in a head is (31)/(42) , determine the value of n .

A box contains N coins, m of which are fair and the rest are biased. The probability of getting a head when a fair coin is tossed is 1/2 while it is 2/3 when a biased coin is tossed. A coin is drawn from the box at random and is tossed twice. The first time it shows head and the second time it shows tail. What is the probability that the coin drawn is fair?

Die A has 4 red and 2 white faces, whereas die B has 2 red and 4 white faces. A coins is flipped once. If it shows a head, the game continues by throwing die A: if it shows tail, then die B is to be used. If the probability that die A is used is 32/33 when it is given that red turns up every time in first n throws, then find the value of ndot

Die A has 4 red and 2 white faces, whereas die B has 2 red and 4 white faces. A coins is flipped once. If it shows a head, the game continues by throwing die A: if it shows tail, then die B is to be used. If the probability that die A is used is 32/33 when it is given that red turns up every time in first n throws, then find the value of ndot

Two heavy metallic plates are joined together at 90^@ to each other. A laminar sheet of mass 30kg is hinged at the line AB joining the two heavy metallic plates. The hinges are frictionless. The moment of inertia of the laminar sheet about an axis parallel to AB and passing through its center of mass is 1.2 kg m^2. Two rubber obstacles P and Q are fixed, one on each metallic plate at a distance 0.5m from the line AB. This distance is chosen so that the reaction due to the hinges on the laminar sheet is zero during the impact. Initially the laminar sheet hits one of the obstacles with an angular velocity 1 rad/s and turns back. If the impulse on the sheet due to each obstacal is 6 N-s, (a) Find the location of the center of mass of the laminar sheet from AB. (b) At what angular velocity does the laminar sheet come back after the first impact? (c) After how many impacts, does the laminar sheet come to rest?

If N is the number of ways in which a person can walk up a stairway which has 7 steps if he can take 1 or 2 steps up the stairs at a time then the value of N//3 is _______.

Two person pull a rope towards themselves. Each person exerts a force of 100 N on the rope. Find the Young modulus of the material of the rope if it extends in length by 1 cm. Original length of the rope=2 m and the area of cross section = 2 cm^2 .