b. You choose a card from a deck of cards that are numbered 11 through 20. There is one of each card in the deck.
What is the probability that you will choose a number that is divisible by five?
15 and 20
2 chances out of 10 = 1/5
To find the probability of choosing a number divisible by five from a deck of cards numbered 11 through 20, you need to determine the number of cards in the deck that are divisible by five and divide it by the total number of cards in the deck.
Step 1: Identify the numbers in the deck that are divisible by five. In this case, there are two numbers: 15 and 20.
Step 2: Determine the total number of cards in the deck. Since there is one card for each number from 11 to 20, there are 10 cards in total.
Step 3: Calculate the probability by dividing the number of favorable outcomes (cards divisible by five) by the total number of possible outcomes (total number of cards).
- Number of favorable outcomes: 2 (cards 15 and 20)
- Total number of possible outcomes: 10
Probability = Number of favorable outcomes / Total number of possible outcomes
= 2 / 10
= 0.2
So, the probability of choosing a number divisible by five from the given deck of cards is 0.2 or 20%.