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)
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 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.
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 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.
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.
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.
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)
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)
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)