Probability Multiple Choice Quiz Questions

Explanation
The probability of rolling a 3 on a 6-sided dice is 1 out of 6 because there is only one face on the dice with the number 3, and there are a total of six possible outcomes when rolling the dice. Therefore, the chances of rolling a 3 are 1 out of 6 or 1/6.

Explanation
The probability of flipping a coin and getting tails is 1/2. Since there are two coins being flipped, the probability of both coins landing on tails is calculated by multiplying the probabilities together: 1/2 * 1/2 = 1/4. Therefore, the correct answer is 1/4.

Explanation
The probability of rolling an even number on a 6-sided dice can be calculated by dividing the number of favorable outcomes (rolling a 2, 4, or 6) by the total number of possible outcomes (rolling any number from 1 to 6). In this case, there are 3 favorable outcomes (2, 4, and 6) out of 6 possible outcomes, resulting in a probability of 3/6.

Explanation
The probability of selecting a green gum ball can be calculated by dividing the number of green gum balls (3) by the total number of gum balls in the lolly bag (2 red + 3 green + 2 blue = 7). Therefore, the probability of selecting a green gum ball is 3/7.

Explanation
The probability of selecting a red card from a deck of playing cards is 1/2. This is because there are 26 red cards (13 hearts and 13 diamonds) out of a total of 52 cards in a deck. So the probability is calculated by dividing the number of favorable outcomes (red cards) by the total number of possible outcomes (all cards in the deck), which gives us 26/52 or 1/2.

Explanation
In a standard deck of playing cards, there are 52 cards in total, and 13 of them are diamonds (since there are 13 cards in each suit).
To find the probability of selecting a diamond suit, divide the number of diamond cards by the total number of cards:
Probability = Number of diamond cards / Total number of cards Probability = 13 / 52 Probability = 1/4
So, the probability of selecting a diamond suit from a deck of playing cards is 1/4 or 0.25.

Explanation
In the game of Rock, Paper, Scissors, the concept of "Rock beats Paper" is defined by the game's rules, where each of the three elements—rock, paper, and scissors—holds a specific advantage over one of the others. Rock wins against scissors because it can break them, while scissors triumph over paper by cutting it, and paper prevails over rock by covering it. These relationships are at the core of the game's simplicity and balance, creating a cyclic structure where each element can defeat one and be defeated by another. When discussing the probability of "Rock beating Paper," it refers to the fact that, within the game's rules, rock cannot defeat paper, resulting in a 0/3 chance for that specific outcome.

Explanation
The probability of flipping a coin and it landing on heads is 1/2. This is because there are two possible outcomes when flipping a coin, heads or tails, and they are equally likely. Therefore, the probability of landing on heads is 1 out of 2, or 1/2.

Explanation
The probability of paper losing to scissors in a game of rock-paper-scissors is 1/3, as there are three possible outcomes (paper, scissors, or rock), and paper loses to scissors in one of these outcomes.