There is a stack of 10 cards, each given a different number from 1 to 10. Suppose we select a card randomly from the stack, replace it, and then randomly select another card. What is the probability that the first card is an odd number and the second card is less than 3?Write your answer as a fraction in simplest form.
Question
There is a stack of 10 cards, each given a different number from 1 to 10. Suppose we select a card randomly from the stack, replace it, and then randomly select another card. What is the probability that the first card is an odd number and the second card is less than 3?Write your answer as a fraction in simplest form.
Solution
The problem involves two independent events: drawing an odd number and drawing a number less than 3.
-
The probability of drawing an odd number from the stack of 10 cards: There are 5 odd numbers (1, 3, 5, 7, 9) in a stack of 10. So, the probability of drawing an odd number is 5 out of 10, or 1/2.
-
The probability of drawing a number less than 3 from the stack of 10 cards: There are 2 numbers (1 and 2) that are less than 3 in a stack of 10. So, the probability of drawing a number less than 3 is 2 out of 10, or 1/5.
Since these are independent events, we multiply the probabilities together to get the overall probability.
So, the probability that the first card is an odd number and the second card is less than 3 is (1/2) * (1/5) = 1/10.
Similar Questions
There is a stack of 8 cards, each given a different number from 1 to 8. Suppose we select a card randomly from the stack, replace it, and then randomly select another card. What is the probability that the first card is an even number and the second card is less than 4?Write your answer as a fraction in simplest form.
You pick a card at random, put it back, and then pick another card at random.12345678What is the probability of picking an odd number and then picking an even number?Write your answer as a decimal rounded to the nearest thousandth.
Suppose you ask a friend to randomly choose an integer between 1 and 10, inclusive.What is the probability that the number will be more than 2 or odd? (Enter your probability as a fraction.)
If one card is drawn from an ordinary deck of cards, find the probability of getting the following.Enter your answers as fractions or as decimals rounded to 3 decimal places.
15) Cards bearing numbers 3 to 20 are placed in a bag and mixed thoroughly. A card is taken out from the bag at random. The probability that the number on the card taken out is an even number, is
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.