Answer: The probability of randomly choosing 2 blue marbles without replacement is \(0.05\).
B. The probability of getting heads, tails, and heads, in that order when flipping a coin is 1/8.
These events are independent.
Step-by-step explanation:
Given: The number of blue marbles in the bag = 4
The total number of marbles in the bag = \(8+4+4=16\)
After choosing one marble, the total marbles remains in the bag = \(16+1=15\)
If first marble is blue, then number of blue marbles in bag =
Now, the the probability of randomly choosing 2 blue marbles without replacement is given by :-
\(\frac{4}{16}\times\frac{3}{15}=\frac{1}{20}=0.05\)
Hence, the probability of randomly choosing 2 blue marbles without replacement is \(0.05\).
In order when flipping a coin.
Total outcomes = 2
Then, the probability of getting heads, tails, and heads, in that order when flipping a coin is given by :-
\(\frac{1}{2}*\frac{1}{2}*\frac{1}{2}=\frac{1}{8}\)
These events are independent of each other because the next event is not affected by the previous event.
