Question

Valerie picked a card from a standard deck at random, recorded the suit, then put the card back in the deck and shuffled. If Valerie repeated this 60 times, how many times should she expect to pick a heart?

Answer 1

Probability is calculated as follows:

$p=\frac{\text{ }number\text{ of favorable outcomes}}{\text{ total number of possible outcomes}}$

In a standard deck of cards, there are 13 hearts and a total of 52 cards. Then, the probability of picking a heart is:

$p=\frac{13}{52}=\frac{1}{4}$

To find how many times she should expect to pick a heart, we have to multiply the number of times the event is repeated (60) by the probability of picking a heart, that is,

$\frac{1}{4}\cdot60=15$

She should expect to pick a heart 15 times