Question

Kayla has a standard deck of 52 cards and a six-sided die. What is the probability that she will pull a diamond from the deck of cards and roll a 1?

Answer 1

Probability( Pulling a diamond) = 1/4
Propability(Rolling a 1) = 1/6

The 2 events are independent so the probabilities are mulitplied:-

Required probability = 1/4 * 1/6 = 1/24 Answer

Answer 2

Answer: 4.2%

Explanation:

The deck has 52 cards, and a standard deck has 13 cards of each type, so there are 13 diamond cards.

Then the probability of drawing a random card that is a diamond card is equal to the number of diamonds card divided by the total number of cards:

p1 = 13/52 = 0.25

now, for the dice we have that the dice has 6 sides, but only one side has a 1, so the probability is;

p2 = 1/6 = 0.167

Now, the probability of both events happening at the same time, is equal to the product of both probabilities is:

P = p1*p2 = 0.25*0.167 = 0.042

So the probability is 0.042*100% = 4.2%