Question

there are five cards in a box with numbers 1 to 5 written on them is cards a pick out off from the box write the all possible outcomes and find the probability of getting both even numbers ​

Answer 1

Answer:

1/5 2/5 3/5 4/5 5/5 are the 5 possibility s

Answer 2

Answer:

1/10

Step-by-step explanation:

There are five cards so the set of all possible outcomes is,

C={1,2,3,4,5}

As two cards are being drawn,

If we take out first card, the probability of that card being an even numbered card is,

Even cards = {2, 4}

Odd cards = {1, 3, 5}

Total cards = {1, 2, 3, 4, 5}

P(even) = EvenCards/TotalCards

P1(even) = 2/5

Now if we have taken out one even numbered card,

So remaining cards are,

Even cards = {2} or {4}

Odd cards = {1, 3, 5}

Total cards = {1, 2, 3, 5} or {1, 3, 4, 5}

P2(even) = 1/4

As we are taking out two cards one after the other

So we multiply the two results

P1(even) & P2(even)

= P1(even) x P2(even)

$= \frac{2}{5} \times \frac{1}{4} \\ = \frac{2}{20} \\ = \frac{1}{10}$