Question

Two cards are drawn from the top of a well-shuffled deck. What is the probability that they are both diamonds?

Answer 1

divide the total no of diamond cards (x) by the total no of cards (y)...
ans will be x/y

Answer 2

The probability that they are both diamonds is 2/17.

Total number of cards = 52.

There are 13 hearts and 13 diamonds in a pack.

What is probability?

• In common usage, the word "probability" is used to mean the chance that a particular event (or set of events) will occur expressed on a linear scale from 0 (impossibility) to 1 (certainty), also expressed as a percentage between 0 and 100%.
• The analysis of events governed by probability is called statistics.

What is probability formula?

• The formula of the probability of an event is, Probability Formula. Or, P(A) = n(A)/n(S).

According to the question:

Therefore, the probability of getting a two of heart and two of diamonds is:

$\left({ }^{13} C_{2} /{ }^{52} C_{2}\right)+\left({ }^{13} C_{2} /{ }^{52} C_{2}\right)\\ \left({ }^{13} C_{2}+{ }^{13} C_{2}\right) /{ }^{52} C_{2}$

= 156/1326.

= 2/17.

Hence, the probability that they are both diamonds are 2/17.

Learn more  about probability here,

https://brainly.in/question/1350976?msp_poc_exp=5

#SPJ2