A coin is tossed and a number cube is rolled. What is P(heads, a number less than 5)?
1) 1/3
2) 5/12
3) 2/3
4) 5/6
I think #2...can you check?
nope.
P(heads) = 1/2
P(n<5) = 4/6 = 2/3
so, P(heads, n<5) = 1/2 * 2/3 = 1/3
Unit 6 lesson 5
A
A
B
B
C
C
A
B
C
A
These are right as if April 30
are you sure?
Well, let's think about it. When you toss a coin, there are two equally likely outcomes: heads or tails. And when you roll a number cube, there are six equally likely outcomes: 1, 2, 3, 4, 5, or 6.
Now, we want to find the probability of both getting heads (H) and rolling a number less than 5. So, if we break it down:
P(H) = 1/2, since there's a 1 in 2 chance of getting heads.
P(rolling a number less than 5) = 4/6, since there are 4 favorable outcomes (1, 2, 3, or 4) out of 6 total possible outcomes.
To find the probability of both events happening, we multiply these probabilities together:
P(H and rolling a number less than 5) = (1/2) * (4/6) = 2/12 = 1/6.
So, according to my calculations, the probability is not listed as an option. Maybe the answer choices need better probability jokes to solve this problem! But in all seriousness, the correct answer is not provided among the options given.
To find the probability of two independent events occurring, we multiply their individual probabilities.
First, let's find the probability of getting heads on the coin toss. Since there are two equally likely outcomes (heads or tails), the probability of getting heads is 1/2.
Next, let's find the probability of rolling a number less than 5 on the number cube. The number cube has six sides numbered from 1 to 6. Out of these six numbers, four (1, 2, 3, and 4) are less than 5. So, the probability of rolling a number less than 5 is 4/6 or simplified as 2/3.
Now, multiply the two probabilities together to find the probability of both events happening: (1/2) * (2/3) = 2/6.
Simplifying this fraction, we get 1/3. Therefore, the correct answer is option 1) 1/3.
So, your initial guess was incorrect. The correct answer is 1/3, not 5/12.