Question

I choose a card from a standard deck of cards and then i roll a number cube. what is the probability that I choose a heart and roll a 2

Answer 1

Answer:

Probability of choosing a heart and rolling a 2 = $\frac{1}{24}$

Step-by-step explanation:

Let A be the event of choosing a heart from a standard deck of cards and

B be the event of rolling a 2.

Clearly, A and B are independent events as none of the events does not affect the probability of occurrence of other event.

Therefore, P(A∩B) = P(A) × P(B)

P(A) = $\frac{Number of heart cards}{Total number of cards}$

$=\frac{13}{52}$

$=\frac{1}{4}$

P(B) = $\frac{1}{6}$

P(A∩B) = P(A) × P(B)

= $\frac{1}{4} (\frac{1}{6} )$

$=\frac{1}{24}$