Home
Class 12
MATHS
A cube having all of its sides painted i...

A cube having all of its sides painted is cut by two horizontal, two vertical, and other two planes so as to form 27 cubes all having the same dimensions. Of these cubes, a cube is selected at random.
The probability that the cube selected has two sides painted is (a) `4//9` (b) `1//27` (c) `1//18` (d) `5//54`

A

`1//9`

B

`4//9`

C

`8//27`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
Clearlly, cube at the centre is the only cube which is not painted. On each edge, we have one cube pained on two sides. So, there are twelve cubes pained on two sides.
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY I

    CENGAGE PUBLICATION|Exercise Match|2 Videos

  • PROBABILITY I

    CENGAGE PUBLICATION|Exercise Numerical Value Type|7 Videos

  • PROBABILITY I

    CENGAGE PUBLICATION|Exercise MCQ|54 Videos

  • PROBABILITY

    CENGAGE PUBLICATION|Exercise All Questions|470 Videos

  • PROBABILITY II

    CENGAGE PUBLICATION|Exercise MULTIPLE CORRECT ANSWER TYPE|6 Videos

Similar Questions

Explore conceptually related problems

A cube having all of its sides painted is cut to be two horizontal , two vertical and other two planes, so as to form 27 cubes all having the same dimesions of these cubes, a cube is selected at random. If P_1 be the probability that the cube selected having atleast one of its sides painted, then the value of 27P_1 , is

A three-digit number is selected at random from the set of all three-digit numbers. The probability that the number selected has all the three digits same is 1//9 b. 1//10 c. 1//50 d. 1//100

Five horses are in a race. Mr. A selects two of the horses at random and bets on them. The probability that Mr. A selected the winning horse is (A) 3/5 (B) 1/5 (C) 2/5 (D) 4/5

Two dice are thrown at a time. find the probability that the sum of the outcomes will be 6. a)5/36 b)8/36 c) 4/9 d) 1/3

The ratio of the volumes of two cubes is 1: 27, the ratio of total suface areas of two cubes is

Two coins A and B have probabilities of head 1/4 and 3/4 in a single toss respectively. One of the coins is selected at random and tossed twice. If two heads come up what is the probability that coin B was tossed?

Two numbers are selected randomly from the set S={1,2,3,4,5,6} without replacement one by one. The probability that minimum of the two numbers is less than 4 is (a) 1/15 (b) 14/15 (c) 1/5 (d) 4/5

Two players toss 4 coins each. The probability that they both obtain the same number of heads is a. 5//256 b. 1//16 c. 35//128 d. none of these

In a certain town, 40% of the people have brown hair, 25% have brown eyes, and 15% have both brown hair and brown eyes. If a person selected at random from the town has brown hair, the probability that he also has brown eyes is 1//5 b. 3//8 c. 1//3 d. 2//3

A bag contains 10 mangoes out of which 4 are rotten. Two mangoes are taken out together. If one of them is found to be good, the probability that other is also good is (a) 1/3 (b) 8/(15) (c) 5/(18) (d) 2/3