Probability
The probability of flipping two fair coins and having them both land on heads
= 1/2 x 1/2
= 1/4
The number of positive integer prime numbers less than 10.
4
Point P’ is the image of P(-2,-2) under a translation by 1 unit left and 3 units down. What are the coordinates of P’?
(-3,-5)
The probability of picking 2 blue balls when drawing two balls (at the same time) from a bag of 3 blue balls and 4 red balls
= 3/7 x 2/6
= 6/42
= 1/7
If x = 2, the value of 4x² - 3x² is...
4
A right triangle has legs measuring 9 cm and 12 cm. What is the length of its hypotenuse?
15cm
Sam rolls a fair four-sided die containing the numbers 1, 2, 3, and 4. Tyler rolls a fair six-sided die containing the numbers 1, 2, 3, 4, 5, and 6. What is the probability that Sam rolls a larger number than Tyler?
= (0 + 1 + 2 + 3)/(4x6)
= 6/24
= 1/4
Shuxin begins with 10 red candies, 7 yellow candies, and 3 blue candies. After eating some of the candies, there are equal numbers of red, yellow, and blue candies remaining. What is the smallest possible number of candies that Shuxin ate?
11
You roll two standard six-sided dice. What is the probability that the sum is either 4 or 10?
= (1x6)/(6x6)
= 6/36
= 1/6
Ten numbers have an average (mean) of . Two of those numbers are 51 and 99. The average of the other eight numbers is...
90