Question

Two different dice are tossed together. Find the probability that the number on each die is even.

Answer 1

hen two different dice are thrown, then total number of outcomes = 36.

Let E₁ be the event of getting an even number on each die.

These numbers are (2, 2), (2, 4), (2, 6), (4, 2), (4, 4), (4, 6), (6, 2), (6, 4) and (6, 6).

Number of Favourable outcomes = 9

∴ P(getting an even number on both dice) `= P (E_1)=("Number of outcomes favourable to" E_1)/("Number of all possible outcomes")  `

`= 9/36 = 1/4`

Thus, the probability of getting an even number on both dice is `1/4`