Hello. I need help with this question.
A coin is tossed and a number cube is rolled. What is P(heads, a number less than 5
A 1/3
B 5/12
C 2/3
D 5/6
Based on the Info given, i can not figure out the answer to this question.
I don't know what the coin has to do with this question.
The probability that the number cube shows a number less than 5 is 4/6 = 2/3
The correct answer is 1/3
HELP WITH DIS WHAT IS DA PROBLEM
To find the probability of getting both a heads on a coin toss and a number less than 5 on a number cube roll, you need to determine the total number of favorable outcomes (the ones that satisfy both conditions) and divide it by the total number of possible outcomes.
First, let's determine the total number of possible outcomes for both the coin toss and the number cube roll.
For the coin toss, there are two possible outcomes: heads (H) or tails (T).
For the number cube roll, there are six possible outcomes since the number cube has six faces numbered 1, 2, 3, 4, 5, and 6.
To calculate the total number of possible outcomes for both the coin toss and the number cube roll, we multiply the number of outcomes for each event. In this case, we have 2 outcomes for the coin toss multiplied by 6 outcomes for the number cube roll, which gives us a total of 2 x 6 = 12 possible outcomes.
Now, let's determine the number of favorable outcomes. We want to find the outcomes that have a heads on the coin toss and a number less than 5 on the number cube roll.
From the 12 possible outcomes, we identify the following favorable outcomes:
1. Heads (H) and 1 on the number cube roll.
2. Heads (H) and 2 on the number cube roll.
3. Heads (H) and 3 on the number cube roll.
4. Heads (H) and 4 on the number cube roll.
So, there are a total of 4 favorable outcomes.
To find the probability, we divide the number of favorable outcomes (4) by the total number of possible outcomes (12). Therefore, the probability is 4/12 or simplifying it gives us 1/3.
Hence, the answer to the question "What is P(heads, a number less than 5)?" is A) 1/3.