The probability of drawing two reds, with replacement, is the same as the probability of drawing a red, times itself. So:
P(drawing two reds) = P(drawing a red)2 = (12/(2 + 12 + 6))2 = (12/20)2 = (3/5)2 = 9/25
Since the box contains 16 marbles, seven of them white, then the probability of drawing one white marble is 7/16. If you replace the marble and draw again, the probability of drawing another white marble is still 7/16. The net probability of drawing two white marbles, while replacing the first, is 49/256.
To find the probability of choosing two white chips in succession without replacement, we first calculate the probability of selecting a white chip on the first draw. There are 4 white chips out of a total of 10 chips, so the probability of the first draw is 4/10. After removing one white chip, there are 3 white chips left out of a total of 9 chips, making the probability of the second draw 3/9. Therefore, the overall probability of drawing two white chips in succession is (4/10) * (3/9) = 12/90, which simplifies to 2/15.
The probability of selecting 1 female at random is 4/8 There are now 7 students, 3 of which are female so the probability of selecting another female is 3/7 The probability two randomly selected students are female is (4/8)x(3/7)= 3/14
It is dependent.
Probability of picking purple sock first time is 6/10 or 3/5, second time, probability is 5/9. Thus 3/5 * 5/9 = 15/45 which cancels to 1/3
2/6
Since the box contains 16 marbles, seven of them white, then the probability of drawing one white marble is 7/16. If you replace the marble and draw again, the probability of drawing another white marble is still 7/16. The net probability of drawing two white marbles, while replacing the first, is 49/256.
To find the probability of choosing two white chips in succession without replacement, we first calculate the probability of selecting a white chip on the first draw. There are 4 white chips out of a total of 10 chips, so the probability of the first draw is 4/10. After removing one white chip, there are 3 white chips left out of a total of 9 chips, making the probability of the second draw 3/9. Therefore, the overall probability of drawing two white chips in succession is (4/10) * (3/9) = 12/90, which simplifies to 2/15.
The probability of selecting 1 female at random is 4/8 There are now 7 students, 3 of which are female so the probability of selecting another female is 3/7 The probability two randomly selected students are female is (4/8)x(3/7)= 3/14
4 out of 25
Probability of drawing a blue marble first is 4 in 8 (or 50%) Probability of drawing a blue marble second is 3 in 7 (or 42.85714%) Probablility of drawing blue then blue is the two above multiplied 0.5 * 0.4285714 Which is 0.212142407 or 21% or One in Five.
1/15 or about 0.07
No, it is the same.
It is dependent.
Another name for experimental probability is empirical probability. This is the ratio of the number of outcomes in which a specified event occurs to the total number of trials.
Another word for probability.
If you have already selected an ace from a standard deck of 52 cards, there are now 51 cards left in the deck, including 3 remaining aces. The probability of selecting another ace from the remaining cards is therefore 3 out of 51, or ( \frac{3}{51} ), which simplifies to ( \frac{1}{17} ).