If you draw one card at random from a deck of 18 cards numbered 1 through 18, inclusive, what is the probability that the number you draw is divisible by 6?
There are 3 such multiples,
6,12, and 18
prob(of your event) = 3/18 = 1/6
If you draw one card at random from a deck of 17 cards numbered 1 through 17, what is the probability that the number you draw is divisible by 5 and odd?
To find the probability that the number drawn is divisible by 6, we need to determine the number of favorable outcomes and the number of total outcomes.
Step 1: Determine the number of favorable outcomes.
Numbers that are divisible by 6 in the range 1 to 18 are 6, 12, and 18. So, there are three favorable outcomes.
Step 2: Determine the number of total outcomes.
The total number of cards in the deck is 18.
Step 3: Calculate the probability.
The probability is the ratio of the number of favorable outcomes to the number of total outcomes.
Probability = Number of favorable outcomes / Number of total outcomes
In this case, the probability is:
Probability = 3 / 18
Probability = 1/6
Therefore, the probability that the number drawn is divisible by 6 is 1/6.
To find the probability of drawing a card that is divisible by 6, we need to determine the number of favorable outcomes (cards divisible by 6) and the total number of possible outcomes (all cards in the deck).
Step 1: Determine the number of favorable outcomes:
There are three numbers in the deck that are divisible by 6: 6, 12, and 18.
Step 2: Determine the total number of possible outcomes:
The deck has 18 cards in total.
Step 3: Calculate the probability:
The probability of drawing a card divisible by 6 is given by the number of favorable outcomes divided by the total number of possible outcomes:
Probability = Number of favorable outcomes / Total number of possible outcomes
= 3 / 18
= 1 / 6
Therefore, the probability of drawing a card that is divisible by 6 is 1/6.