Question

✴:If two dice are rolled at same time and the sum of the number appearing on them is noted.

⭐: Find the probability of getting each sum from 3 to 5 separately.

Answer 1

Answer....

To find the probability determine the number of successful outcomes divided by the number of possible outcomes overall. Each dice has six combinations which are independent. Therefore the number of possible outcomes will be 6*6 = 36.

The number of successful outcomes will be the number of outcomes where the number of the dice adds up to five. There are four successful outcomes:

(1)(4)

(2)(3)

(3)(2)

(4)(1)

The probability of rolling a pair of dice whose numbers add to 5 is 4/36 = 1/9.

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If two dice are thrown at a same time.. Then the possible number of outcomes are 6×6=36..

The number of successful outcomes will be the number of outcomes where the number of the dice adds up to five. There are four successful outcomes:

i.e

(1)(2)

(2)(1)

Therefore, The probability of rolling a pair of dice whose numbers add to 3 is 2/36=1/18....