Prolly needed for tomorrow
1.) a card is picked at random. find the probability of drawing card either a 4 or a face card?
2.) a two die is rolled. what is the probability of showing a prime number or a number divisible by 3?
1.) a card is picked at random. find the probability of drawing card either a 4 or a face card?
2.) a two die is rolled. what is the probability of showing a prime number or a number divisible by 3?
Answers & Comments
Answer:
1) There are 16 face cards and 4 fours in a deck of 52 cards. There are 12 cards that are both face cards and fours, so we subtract those from the total. Therefore, there are 16 + 4 - 12 = 8 cards that are either a 4 or a face card. The probability of drawing one of those cards is 8/52, which simplifies to 2/13.
2) There are 6 prime numbers on a die (2, 3, 5) and 4 numbers that are divisible by 3 (3, 6). However, we must subtract the number 3 since it is both prime and divisible by 3. Therefore, there are 6 + 4 - 1 = 9 numbers that are either prime or divisible by 3. The probability of rolling one of those numbers is 9/36, which simplifies to 1/4.