A coin is tossed and a standard number cube is rolled What is the probability that the coin shows heads and the number cube rolls an even number
1/6
1
1/4
1/2
1/4
Are you sure??????
Yes, I'm sure. There are two possible outcomes for the coin: heads or tails. There are three possible outcomes for the dice: 2, 4, or 6 (since those are the even numbers on a standard dice). Therefore, the probability of getting heads and an even number is the probability of getting heads (1/2) multiplied by the probability of rolling an even number (3/6 or 1/2).
Multiplying those two probabilities together:
1/2 * 1/2 = 1/4
So the probability of getting heads and an even number is 1/4.
Ok I'm convinced thanks
You're welcome! If you have any more questions, feel free to ask.
Yes theres more
Sure, please go ahead and ask your question. I'll do my best to help you.
A bag contains 3 blue marbles, nine green marbles and 11 Yellow marbles twice you draw a marble and replace it Find p(blue then green)
In this case, since you're replacing the marble, the probability of drawing a blue marble on the first draw is 3/23 (since there are 3 blue marbles out of 23 total marbles).
After replacing the marble, the probability of drawing a green marble on the second draw is 9/23 (since there are 9 green marbles out of 23 total marbles).
To find the probability of both events happening (drawing a blue marble then a green marble), you multiply the individual probabilities together:
P(blue then green) = (3/23) * (9/23)
P(blue then green) = 27/529
So the probability of drawing a blue marble then a green marble is 27/529.