I have a full deck of cards (52 cards). What is the probability of pulling a 10 out of the deck at random? (Reminder: There are 4 of each card in the deck) Express as a decimal, rounded to the nearest hundredths.
A).07
B).08
C).02
D).25
looks like a simple typo here
actually 4/52 = .0769...
= .08 correct to 2 decimals
B because 4/52 is about 0.76
To calculate the probability of pulling a 10 out of the deck at random, we need to determine the number of favorable outcomes and the number of possible outcomes.
There are 4 cards with the rank of 10 in a deck (10 of hearts, 10 of diamonds, 10 of clubs, and 10 of spades). Since there are 52 cards in a deck, the number of possible outcomes is 52.
Therefore, the probability of pulling a 10 out of the deck at random is 4/52 or 1/13, which is approximately 0.08.
Rounding to the nearest hundredths, the answer is B) 0.08.
To find the probability of pulling a 10 out of a deck of cards, we first need to determine how many 10s there are in the deck.
Since there are four of each card in a standard deck, there are also four 10s. Hence, there are 4 possible favorable outcomes (pulling a 10) out of a total of 52 possible outcomes (total number of cards in the deck).
Therefore, the probability of pulling a 10 is 4/52, which simplifies to 1/13.
To express this as a decimal, we divide 1 by 13: 1 ÷ 13 ≈ 0.0769.
Rounded to the nearest hundredths, the probability of pulling a 10 is approximately 0.08.
So, the correct answer is B) 0.08.