A number cube is tossed and a card is picked at random. What is P(5, pink)?

1/24
1/5
1/6
1/4
imagine you had 1 yellow card, 1 blue card 1 green card and 1 pink card

Well, if we imagine having 1 yellow card, 1 blue card, 1 green card, and 1 pink card, and we're interested in the probability of rolling a 5 and picking a pink card, let's break it down.

First, let's think about the probability of rolling a 5 on the number cube. Since there are 6 possible outcomes (1, 2, 3, 4, 5, and 6), and only 1 of them is a 5, the probability of rolling a 5 is 1/6.

Now, let's consider the probability of picking a pink card. If we have 1 yellow card, 1 blue card, 1 green card, and 1 pink card, and we pick at random, there are 4 possible outcomes. And since only 1 of those outcomes is picking the pink card, the probability of picking the pink card is 1/4.

To find the probability of both events happening, we multiply the probabilities: (1/6) * (1/4) = 1/24.

So, the probability of rolling a 5 and picking a pink card is 1/24.

To calculate the probability of getting a 5 on the number cube and a pink card, we first need to determine the total number of possible outcomes.

The number cube has 6 sides, so there are 6 possible outcomes when it is tossed. Additionally, there are 4 cards to choose from, including the pink card.

Therefore, the total number of possible outcomes is the product of the number of outcomes for the number cube and the number of outcomes for the card: 6 x 4 = 24.

Since there is only one way to get a 5 on the number cube and one pink card, the number of favorable outcomes is 1.

Thus, the probability of getting a 5 on the number cube and a pink card, denoted by P(5, pink), is 1 favorable outcome out of 24 possible outcomes.

Therefore, P(5, pink) = 1/24.

So, the correct answer is 1/24.

To find the probability of rolling a 5 on the number cube and picking a pink card, we need to know the total number of outcomes for both events.

Firstly, let's determine the total number of outcomes for rolling the number cube. Since a number cube has 6 sides and each side represents a number from 1 to 6, the total number of outcomes for rolling the number cube is 6.

Secondly, let's determine the total number of outcomes for picking a card. In this case, there are 4 cards: 1 yellow card, 1 blue card, 1 green card, and 1 pink card. Therefore, the total number of outcomes for picking a card is 4.

Since the two events of rolling the number cube and picking a card are independent (the outcome of one event does not affect the outcome of the other), we can multiply the probabilities together to find the joint probability.

The probability of rolling a 5 on the number cube is 1/6 (since there is only one 5 out of six possible outcomes).

The probability of picking a pink card is 1/4 (since there is only one pink card out of four possible card outcomes).

Therefore, the probability of rolling a 5 and picking a pink card is (1/6) * (1/4) = 1/24.

So, the answer is P(5, pink) = 1/24.

To get a 5 on the cube, you would have 1/6

to get the pink, how many cards are there? How many of those are pink?
What do you think?