If 2 cards are drawn at random from a standard deck of cards with no replacement, find the probability that both cards are heart
I had 13/52 multiplied by 12/51 to get an answer of 1/17
A bucket contains 4 red, 2 yellow, and 3 green balls. If one ball is taken at random what is the probability that is is red or green
I had 4/9 times 3/9 which equals 4/27 as my answer
I just need someone to make sure these are correct
I agree with your first answer.
Since there is only one draw in your second question, and 7/9 of the balls are red OR green, it seems toi me that is the answer.
i totally agree with your first anawer also!!! :)
Let's go through each question and verify the calculations.
Question 1: Probability of drawing two heart cards from a standard deck without replacement.
Yes, you are correct. To solve this problem, you first need to determine the probability of drawing a heart card on the first draw, which is 13/52 because there are 13 heart cards in a standard deck of 52 cards. Then, for the second draw, since one heart card has already been removed, there are 12 heart cards left out of 51 cards in the deck. Therefore, the probability of drawing another heart card is 12/51.
To find the probability that both cards drawn are hearts, you multiply the probabilities of each event occurring, which gives you (13/52) * (12/51) = 1/17. So your answer of 1/17 is correct.
Question 2: Probability of drawing a red or green ball from a bucket.
Here, let's double-check your calculation. The total number of balls in the bucket is 4 + 2 + 3 = 9.
To find the probability of drawing a red ball, you have 4 red balls out of 9 in the bucket, so the probability is 4/9.
To find the probability of drawing a green ball, you have 3 green balls out of 9 in the bucket, so the probability is 3/9, which can be simplified to 1/3.
To find the probability of drawing either a red or a green ball, you add the probabilities together: 4/9 + 3/9 = 7/9.
So your answer should be 7/9 instead of 4/27.
Therefore, your first answer of 1/17 is correct, and your second answer should be 7/9.