You flip a coin and roll a number cube. What is the probability of getting a head and a moltiple of three?
a 1/12
b 1/6
c 1/4
d 3/2
please explain !!!
this is wrong and it sucks
its A 1/12
To find the probability of getting a head and a multiple of three when flipping a coin and rolling a number cube, we need to determine the number of favorable outcomes and the total number of possible outcomes.
Step 1: Determine the favorable outcomes:
When flipping a coin, there are two possible outcomes: heads or tails. In this case, we are only interested in getting a head, which is one favorable outcome.
When rolling a number cube, there are six possible outcomes: 1, 2, 3, 4, 5, or 6. We are interested in getting a multiple of three, which includes the numbers 3 and 6. These are two favorable outcomes.
Since we need both a head and a multiple of three, the number of favorable outcomes is the product of the number of favorable outcomes for each event: 1 (head) * 2 (multiple of three) = 2.
Step 2: Determine the total number of possible outcomes:
When flipping a coin, there are two possible outcomes: heads or tails.
When rolling a number cube, there are six possible outcomes: 1, 2, 3, 4, 5, or 6.
The total number of possible outcomes is the product of the number of possible outcomes for each event: 2 (coin flip) * 6 (number cube roll) = 12.
Step 3: Calculate the probability:
The probability is the number of favorable outcomes divided by the total number of possible outcomes.
Probability = Number of favorable outcomes / Total number of possible outcomes
Probability = 2 / 12
Probability = 1/6
Therefore, the probability of getting a head and a multiple of three is 1/6.
The correct answer is option b: 1/6.
probably of a head= 1/2
probably of a multiple of 3 (either 3 or 6)= 2ways*1/6 as 1/6 is the prob of any one side coming up
joint probability= 1/2 * 2* 1/6= 1/6