If two loaded dice each have the property yjsy 2 or 4 is there times as likely to appears as `1,3,5,or6` on each roll. When two such dice are rolled,

Question

If two loaded dice each have the property yjsy 2 or 4 is there times as likely to appears as `1,3,5,or6` on each roll. When two such dice are rolled,

If two loaded dice each have the property yjsy 2 or 4 is there times as likely to appears as `1,3,5,or6` on each roll. When two such dice are rolled, the probability of obtaining a total of 7 is p, then value of `[1//p]` is, where `[x]` represents the greatest integer less than or euqal to x.

Monjur Alahi

5 views

2025-01-04 04:42

1 Answers

Related Questions

A coin is tossed three times, consider the following events. A : No head appears, B: Exactly one head appears and C: Atleast two appear. Do they form

2 Answers 5 Views

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`, whe

2 Answers 6 Views

A dice is weighted such that the probability of rolling the face numbered n is proportional to `n^(2)` (n = 1, 2, 3, 4, 5, 6). The dice is rolled twic

2 Answers 6 Views

Two dice are thrown. What is the probability that the sum of the numbers appearing on the two dice is 11, it 5 appears on the first?

2 Answers 5 Views

In a single throw of two dice what is the probability of obtaining a number greater , if 4 appears on the first dice?

2 Answers 5 Views

Two fair dice are rolled. Let `P(A_(i))gt0` donete the event that the sum of the faces of the dice is divisible by i. Which one of the following event

2 Answers 5 Views

Two fair dice are rolled. Let `P(A_(i))gt0` donete the event that the sum of the faces of the dice is divisible by i. For which one of the following (

2 Answers 8 Views

Two fair dice are rolled. Let `P(A_(i))gt0` donete the event that the sum of the faces of the dice is divisible by i. The number of all possible order

2 Answers 7 Views

Number of six-digit numbers such that any digit that appears in the number appears at least twice, where the digits of each number are from the set `{

2 Answers 11 Views

The number of `n` digit number formed by using digits `{1,2,3}` such that if `1` appears, it appears even number of times, is

2 Answers 6 Views

Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Correct Answer - 7
Let the probaility of the faces `1,3,5` or 6 be p for each face. Hence, probability of each of the faces 2 or 4 is 3p Now according to the question `4p+6p=1`
`impliesp=1/10`
`thereforeP(1)=P(3)=P(5)=P(6)=12/10`
` and P(2)=P(4) =3/10`
`implies` Required probability
p= p (total of 7 with a sraw of dice)
`=P(16,61,25,52,43,34)`
`=2((1)/(10).(1)/(10))+2((3)/(10).(1)/(10))+2((3)/(10).(1)/(10))`
`=(2+6+6)/(100)=14/100=7/50`