alana tosses 2 number cubs.she wins if she rolls double sixes.
Determine p(Alana wins).
i need help with this question please i'm in the 7th grade this is for math
there are 36 possible outcomes from tossing 2 number cubes (6 sides each)
double sixes is one outcome
so she has one chance in thirty-six
To determine the probability that Alana wins, we need to know the total number of possible outcomes and the number of favorable outcomes.
Step 1: Determine the total number of possible outcomes.
Each number cube has 6 sides, so each cube has 6 possible outcomes. Since Alana tosses 2 number cubes, the total number of possible outcomes is 6 x 6 = 36.
Step 2: Determine the number of favorable outcomes.
Alana wins if she rolls double sixes, which means both number cubes show a 6. There is only 1 favorable outcome in this case: (6, 6).
Step 3: Calculate the probability.
The probability of an event happening is given by the formula:
Probability (P) = Number of favorable outcomes / Total number of possible outcomes
In this case, the probability of Alana winning is:
P(Alana wins) = Number of favorable outcomes / Total number of possible outcomes
P(Alana wins) = 1 / 36
So, the probability that Alana wins is 1/36.