Example Question - set of cards
Here are examples of questions we've helped users solve.
Probability of Picking a Specific Sequence of Numbers from a Set of Cards
The image shows a set of cards with numbers from 2 through 9. The question asks for the probability of picking a 6 and then picking a 5. To solve this problem, we need to calculate the probability of picking a 6 first, and then, given that a 6 has been picked, the probability of then picking a 5. The total number of cards is 8 (2 through 9). The probability of picking a 6 first is 1 out of 8, because there is only one 6 in the set of cards. After picking a 6, there are 7 cards left. The probability of picking a 5 from the remaining cards is 1 out of 7, because there is only one 5 in the remaining set of cards. The probability of both events happening in sequence (picking a 6 and then picking a 5) is the product of the probabilities of each individual event happening: Probability of picking a 6 and then a 5 = (Probability of picking a 6) × (Probability of picking a 5 given a 6 was picked) = (1/8) × (1/7) = 1/56 So the probability of picking a 6 and then picking a 5 is 1/56.
Probability of Picking Two 6s from a Set of Cards
The image shows a set of four cards numbered 6, 7, 8, and 9. You are picking a card at random, and without replacing the first card, you pick a second card. The question asks what the probability is of picking a 6 and then picking another 6. Since there is only one 6 in the set of four cards, you can only pick the 6 once. This means it is impossible to pick a 6 and then pick another 6 when picking two cards without replacement. The probability, therefore, is 0%, as the event cannot occur under the given conditions.
CamTutor
In regards to math, we are professionals.
Get In Touch
Email: camtutor.ai@gmail.com