Wipro WILP Probability Quiz 1

Out of total of 6 occurrences there is only one possibility of getting 4 as on the dice

so the required probability will be 1/6

In a pack of card there are a total of 13 spades card,

so the chances for being it a spade card will be

13/52

Atleast one tail is the non-event for all heads

Thus, P(at least 1 tail) = 1-P(all heads)

= 1 - 1/8 = 7/8

Odds against an event = p(E') / p(E)

In this case, the event is All black, i.e; First is black and second is black and third is black

P(E) = 5/9 * 4/8 * 3/7 = 60/504 = 5/42

Odds against the event  = 37/5

The event definition would be given by

first is blue and second is blue = 3/11 * 2/10 = 3/55

6 x (4/52) x (4/51) x (4/50) = 16/5525

P(E1) = 3/8

P(E2) = 7/12

Event definition is : E1 occurs and E2 does not occur or E1 occure and E2 occurs or E2 occurs and E1 does not occur.

(3/8) x (5/12) + (3/8) x (7/12) + (5/8) x (7/12) = 71/96

the possible outcomes are:

(1,1); (1,2) ; (2,1) ; (2,2) ; (3,1) ; (1,3)

Out of six cases in two cases there is exaclty one '2'

Thus the correct answer is 2/6 = 1/3

They will contradict each other if : Rajesh is true and Aman is false or vice-versa

(3/8) x (1/6) + (5/8) x (5/6) = 28/48 = 7/12

⁴C₂ x (6/36)² x (30/36)² = 6 x (1/36) x (25/36) = 25/216