There are 4 cards with the number 4 in a deck of 52 cards.
The theoretical probability of picking a 4 from the deck of cards is:
4/52
Simplifying this fraction gives:
1/13
Therefore, the theoretical probability of Lucy picking a 4 from the deck of cards is 1/13.
Lucy has a deck of 52 cards with 4 suits (hearts, spades, diamonds, and clubs), and each suit has cards numbered 1–13. What is the theoretical probability of her picking a 4 from the deck of cards? The answer should be a fraction. Remember to simplify.
(1 point)
11 answers
Jaque has a deck of 52 cards with 4 suits (hearts, spades, diamonds, and clubs), and each suit has cards numbered 1–13. What is the theoretical probability of him picking a heart from the deck of cards? The answer should be a fraction. Remember to simplify.
(1 point)
(1 point)
There are 13 hearts in a deck of 52 cards.
The theoretical probability of picking a heart from the deck of cards is:
13/52
Simplifying this fraction gives:
1/4
Therefore, the theoretical probability of Jaque picking a heart from the deck of cards is 1/4.
The theoretical probability of picking a heart from the deck of cards is:
13/52
Simplifying this fraction gives:
1/4
Therefore, the theoretical probability of Jaque picking a heart from the deck of cards is 1/4.
Lucy has a deck of 52 cards with 4 suits (hearts, spades, diamonds, and clubs), and each suit has cards numbered 1–13. What is the complement of her not picking a 4 from the deck of cards? The answer should be a fraction. Remember to simplify.
(1 point)
(1 point)
The complement of an event is the probability of that event not happening.
Since the probability of picking a 4 from the deck of cards is 1/13, the probability of not picking a 4 is:
1 - 1/13 = 12/13
Therefore, the complement of Lucy not picking a 4 from the deck of cards is 12/13.
Since the probability of picking a 4 from the deck of cards is 1/13, the probability of not picking a 4 is:
1 - 1/13 = 12/13
Therefore, the complement of Lucy not picking a 4 from the deck of cards is 12/13.
A light bulb manufacturer found that 3 out of every 268 light bulbs in every batch were bad. If they produced 22,158 light bulbs, how many are bad?
(1 point)
(1 point)
To find out how many bad light bulbs there are in a batch of 22,158, we can use the proportion:
3 bad light bulbs out of 268 is equal to x bad light bulbs out of 22,158.
(3/268) = x/22,158
Cross multiply to solve for x:
268x = 3 * 22,158
268x = 66,474
Divide both sides by 268 to solve for x:
x = 66,474 / 268
x = 248.34
Since we can't have a fraction of a light bulb, we would round up to the nearest whole number. Therefore, there would be 249 bad light bulbs in a batch of 22,158 light bulbs.
3 bad light bulbs out of 268 is equal to x bad light bulbs out of 22,158.
(3/268) = x/22,158
Cross multiply to solve for x:
268x = 3 * 22,158
268x = 66,474
Divide both sides by 268 to solve for x:
x = 66,474 / 268
x = 248.34
Since we can't have a fraction of a light bulb, we would round up to the nearest whole number. Therefore, there would be 249 bad light bulbs in a batch of 22,158 light bulbs.
The answer was just 248.
Apologies for that mistake. Thank you for pointing it out.
Therefore, there would be 248 bad light bulbs in a batch of 22,158 light bulbs.
Therefore, there would be 248 bad light bulbs in a batch of 22,158 light bulbs.
A 6-sided number cube with the numbers 1, 1, 5, 7, 7, and 9 was rolled 246 times. Predict how many times the number 9 was rolled.
(1 point)
(1 point)
To predict how many times the number 9 would be rolled, we can calculate the probability of rolling a 9 based on the given numbers on the cube.
There is only one 9 out of a total of six numbers on the cube. Therefore, the probability of rolling a 9 is 1/6.
To predict how many times the number 9 would be rolled in 246 rolls, we multiply the probability of rolling a 9 by the total number of rolls:
(1/6) * 246 = 41
Therefore, based on probability, we would predict that the number 9 would be rolled approximately 41 times in 246 rolls of the number cube.
There is only one 9 out of a total of six numbers on the cube. Therefore, the probability of rolling a 9 is 1/6.
To predict how many times the number 9 would be rolled in 246 rolls, we multiply the probability of rolling a 9 by the total number of rolls:
(1/6) * 246 = 41
Therefore, based on probability, we would predict that the number 9 would be rolled approximately 41 times in 246 rolls of the number cube.