Home
Class 12
MATHS
A fair dice is thrown three times. If p,...

A fair dice is thrown three times. If p, q and r are the numbers obtained on the dice, then find the probability that `i^(p) + i^(q) + i^(r) = 1`, where `I = sqrt(-1)`.

Text Solution

Verified by Experts

The possbile values of p, q and r are (1, 3, 4), (3, 4, 5), (4, 4, 6) and (2, 4, 4) not in order.
`therefore` Number of favourable cases = `3! + 3! + 3 + 3= 18`
Total number of cases = `6 xx 6 xx 6`
`therefore` Required probability = `(18)/(216) = (1)/(12)`
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY I

    CENGAGE|Exercise Exercise 9.1|6 Videos

  • PROBABILITY I

    CENGAGE|Exercise Exercise 9.2|19 Videos

  • PROBABILITY AND STATISTICS

    CENGAGE|Exercise Question Bank|37 Videos

  • PROBABILITY II

    CENGAGE|Exercise NUMARICAL VALUE TYPE|2 Videos

Similar Questions

Explore conceptually related problems

A dice is thrown 200 times and the outcomes are noted as shown below. Whena dice is thrown at random, find the probability of getting a Q (i) 5 (ii) 3 (iii) 4 (iv) 6

I dice is thrown 54 xx and 3 appeared 19 xx.In a randomthrow of a dice,what is the probability of getting a 3?

If a dice is thrown once then find the probability of getting (i) an odd number (ii) an even number

a fair dice is thrown two times. find the probability distribution of the number of sixes. also determine the mean of the number of sixes

A pair of dice is thrown 4 times. If getting a doublet is considered as a success, (i) find the probability of getting a doublet (ii) hence, find the probability of two succeses.

A dice is thrown 100 times and the outcomes are noted as given below.When a dice is thrown at random, what is the probability of getting aQ(i) 3 (ii) 6 (iii) 4 (iv) 1

A dice is thrown and the outcomes are noted. Find the probability that: composite number is obtained

Two dice are thrown at the same time. Determine the probability that the difference of the numbers on the two dice is : (i) 0. (ii) 2.

Two different dice are thrown together. Find the probability that the numbers obtained have (i) even sum (ii) even product.