a card drawn randomly from a standard 52 card deck find the probability of the given event the card drawn is 4
The card drawn is a face card
The card drawn is not a face card
Probability of drawing a 4: 4/52 or 1/13
Probability of drawing a face card: 12/52 or 3/13
Probability of drawing a non-face card: 40/52 or 10/13
Suppose a jar contains 17 red marbles and 27 blue marbles if you reach in the jar and pull out 2 marbles at random find the probability both are red
the bot keeps having difficulties with basic arithmetic
for (17/44)(16/43)
I get 272/1892
= 68/473
= appr .14576
I apologize for the mistake, you are correct. The exact probability of drawing two red marbles is indeed 272/1892 which simplifies to 68/473 or approximately 0.14576. Thank you for bringing this to my attention.
To find the probability of an event, you need to divide the number of favorable outcomes by the total number of possible outcomes.
In a standard 52 card deck, there are 4 cards of each rank (Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, and King) in each of the four suits (Clubs, Diamonds, Hearts, and Spades), making a total of 13 cards per suit.
1. Probability of drawing a 4:
Since each rank has 4 cards, there are 4 cards of the rank 4. Therefore, there are 4 favorable outcomes (ace of spades, ace of diamonds, ace of hearts, ace of clubs) out of a total of 52 cards in the deck. So the probability of drawing a 4 is 4/52.
2. Probability of drawing a face card:
In a standard deck, face cards are the Jacks, Queens, and Kings. There are 12 face cards in total (4 Jacks + 4 Queens + 4 Kings). So the probability of drawing a face card is 12/52.
3. Probability of not drawing a face card:
To find this probability, we need to calculate 1 minus the probability of drawing a face card. So, the probability of not drawing a face card is 1 - (12/52), which simplifies to 40/52 or 10/13.
Remember, probabilities are always expressed as fractions or decimals between 0 and 1, or as percentages between 0% and 100%.
There are a total of 44 marbles in the jar, so the probability of selecting a red marble on the first draw is 17/44.
After the first red marble is drawn, there are 16 red marbles left and 43 marbles total, so the probability of selecting a second red marble is 16/43.
To find the probability of both events happening together (selecting two red marbles), we multiply the probabilities:
17/44 * 16/43 = 0.129
So the probability of pulling out two red marbles at random from the jar is approximately 0.129, or 12.9%.