Select the correct answerIn a rummy game, 3 cards are drawn from a pack of 52 cards. What is the probability that all the three cards are of red colour?

In a standard deck of 52 cards, there are 26 red cards (13 hearts and 13 diamonds).

Step 1: Calculate the total number of ways to draw 3 cards out of 52. This is a combination problem, so we use the combination formula C(n, r) = n! / [r!(n-r)!], where n is the total number of items, r is the number of items to choose, and "!" denotes factorial.

So, the total number of ways to draw 3 cards out of 52 is C(52, 3) = 52! / [3!(52-3)!] = 22,100.

Step 2: Calculate the total number of ways to draw 3 red cards out of 26. Again, this is a combination problem, so we use the combination formula.

So, the total number of ways to draw 3 red cards out of 26 is C(26, 3) = 26! / [3!(26-3)!] = 2,600.

Step 3: The probability of an event is the number of favorable outcomes divided by the total number of outcomes. So, the probability that all three cards are red is 2,600 / 22,100 = 0.117.

So, the probability that all three cards drawn are red is approximately 0.117, or 11.7%.