A box contains 3 red marbles, 6 blue marbles, and 1 white marble. The marbles are selected at random, one at a time, and are not replaced. What is the probability of selecting a red and a white and blue?
A. 1/2 or 0.5
B. 1/10 or 0.1
C. 1/20 or 0.05
D. 1/40 or 0.025
An experiment consists of rolling a fair number cube and tossing a fair coin. Find the probability of getting an even number on the number cube and heads on the dime.
A. 1/3
B. 1/2
C. 1/12
D. 1/4
A. 1/2 or 0.5
B. 1/10 or 0.1
C. 1/20 or 0.05
D. 1/40 or 0.025
An experiment consists of rolling a fair number cube and tossing a fair coin. Find the probability of getting an even number on the number cube and heads on the dime.
A. 1/3
B. 1/2
C. 1/12
D. 1/4
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1. There are 10 marbles in the box.
- First the chance you pick out a red is 3/10
- Then the chance you pick out a white is 1/9 because you're not replacing the marble in first draw so now you only have 9 marbles in the box.
- Last, the chance you pick out a blue is 6/8 or 3/4.
Multiply all the probability of selecting a desired marble in each draw, you have:
(3/10)(1/9)(3/4)= 1/40
D.
2. There are 6 numbers on a cube, 3 of them are even.
- The probability of getting an even number is 3/6 or 1/2.
- The probability of getting head on a dime is 1/2.
Multiply all the probability of getting an even number on the cube and a head on the dime, you have:
(1/2)(1/2)= 1/4
D.
- First the chance you pick out a red is 3/10
- Then the chance you pick out a white is 1/9 because you're not replacing the marble in first draw so now you only have 9 marbles in the box.
- Last, the chance you pick out a blue is 6/8 or 3/4.
Multiply all the probability of selecting a desired marble in each draw, you have:
(3/10)(1/9)(3/4)= 1/40
D.
2. There are 6 numbers on a cube, 3 of them are even.
- The probability of getting an even number is 3/6 or 1/2.
- The probability of getting head on a dime is 1/2.
Multiply all the probability of getting an even number on the cube and a head on the dime, you have:
(1/2)(1/2)= 1/4
D.
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red:3/10 blue:6/10 white:1/10