Question

Ten cards numbered 1-10 are placed in a hat.What is the probabiliy of randomly drawing a card with an even number then a card with a number equal to five if the firdt card iis replaced

Answer 1

1/ 20

Explanation:

Given :

Cards = {1,2,3,4,5,6,7,8,9,10}

Even number = {2,4,6,8,10}

Probability (drawing an even number) :

Number of even / total. Number of cards

5 / 10 = 1/2

Card with number, 5 :

P(card numbered 5) = 1/10

Since they are independent events :

P(even number) * P(card numbered 5)

1/2 * 1/10 = 1/20