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Answer:
0.3597 = 35.97% probability that roommate A wins the game and thus does not have to wash the dishes.
Step-by-step explanation:
Independent events:
If two events are independent, the probability of both happening is the multiplication of their probabilities.
Rock-paper-scissors rules:
A player that choose rocks beats one who chooses scissors.
A player that choose paper beats one who chooses rocks.
A player that choose scissors beats one who chooses paper.
Probability that roommate A wins the game and thus does not have to wash the dishes.
3 possible events:
Roommate A - Rocks(21% of the time) and Roommate B - Scissors(18% of the time)
So
Roommate A - Paper(39% of the time) and Roommate B - Rocks(61% of the time).
So
Roommate A - Scissors(40% of the time) and Roommate B - Paper(21% of the time).
So
Probability of roommate A winning:
0.3597 = 35.97% probability that roommate A wins the game and thus does not have to wash the dishes.
The commutative property implies that, the order of multiplication is not important.
is true
Commutative property of multiplication states that:
If
The expression is given as:
To get the commutative expression, we simply change the position of each factor in the expression.
So, some possible equivalent expressions are:
There are several other equivalent expressions.
From the list of options;
is true
Read more about commutative property at: