QuestionWhat is the probability of moving forward an even number of spaces when spinning a pointer and rolling a number cube?
Studdy Solution
STEP 1
Assumptions1. The pointer can land on either 'forward' or 'back'.
. The number cube has six faces, each with a different number from1 to6.
3. The number of spaces to move is determined by the number on the face of the cube that comes up.
4. The question asks for the probability of moving forward an even number of spaces.
STEP 2
First, we need to find the probability of moving forward. Since the pointer can land on either 'forward' or 'back', we can assume that these are equally likely outcomes.
STEP 3
Next, we need to find the probability of rolling an even number on the cube. The even numbers on the cube are2,, and6.
STEP 4
The event of moving forward and the event of rolling an even number are independent. Therefore, the probability of both events occurring is the product of their individual probabilities.
STEP 5
Now, plug in the values for the probabilities of moving forward and rolling an even number to calculate the probability of moving forward an even number of spaces.
STEP 6
Calculate the probability of moving forward an even number of spaces.
The probability of moving forward an even number of spaces is1/4.
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