Math, asked by rm2242001, 4 months ago

a pair of four sided dice is rolled and the sum is determined. what is the probability that a sum of 3 is rolled before a sum of 5 is rolled in a sequence of rolls of the dice?

Answers

Answered by jone1332
2

Answer:

1/3

Step-by-step explanation:

There are 2 ways of making 3(12,21), 4 ways of making 5(14,41,23,32) and 10 ways of making anything else.

Represent these possibilities by 1,2,5 - we wish to determine the probability of 1 occurring before 2.

We can ignore all initial throws of 5, and as each throw is independent, the problem reduces to which occurs first of 1 and 2.

As 2 is twice as likely to happen as 1, the answer is 13.

Answered by ishwaryam062001
0

Answer:

The probability that a sum of 3 is rolled before a sum of 5 is rolled in a sequence of rolls of the dice is 1/9.

Question  : A pair of four sided dice is rolled and the sum is determined. what is the probability that a sum of 3 is rolled before a sum of 5 is rolled in a sequence of rolls of the dice?

Step-by-step explanation:

From the above question,

They have given :

A pair of four sided dice is rolled and the sum is determined.

There are 6 possible outcomes when a pair of four sided dice is rolled:

1+2, 1+3, 1+4, 2+1, 2+2, 2+3, 2+4, 3+1, 3+2, 3+3, 3+4, 4+1, 4+2, 4+3, 4+4.

The probability of rolling a sum of 3 is 1/9 and the probability of rolling a sum of 5 is 1/9.

Therefore, the probability that a sum of 3 is rolled before a sum of 5 is rolled in a sequence of rolls of the dice is 1/9.

Calculate the total number of outcomes when a pair of four sided dice is rolled.

Calculate the probability of rolling a sum of 3.

Calculate the probability of rolling a sum of 5.

Calculate the probability that a sum of 3 is rolled before a sum of 5 is rolled in a sequence of rolls of the dice.

The probability that a sum of 3 is rolled before a sum of 5 is rolled in a sequence of rolls of the dice is 1/9.

For more such related questions : https://brainly.in/question/37791391

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