What is the probability of drawing a black queen from a deck of cards, and then rolling a number greater than 4 on a number cube?
Answer (2)
To determine the probability of drawing a black queen from a standard deck of 52 cards and then rolling a number greater than 4 on a six-sided cube:
First, calculate the probability of drawing a black queen. There are two black queens in a deck of 52 cards, so the probability is 2/52 or 1/26.
Next, calculate the probability of rolling a number greater than 4 on a six-sided die. The numbers greater than 4 are 5 and 6, which gives us 2 possible outcomes out of 6. Thus, the probability is 2/6, which simplifies to 1/3.
To find the combined probability of both independent events happening, multiply their probabilities together: (1/26) * (1/3) = 1/78.
Thus, the probability of drawing a black queen and then rolling a number greater than 4 is 1/78.
The probability of drawing a black queen from a deck of cards is 26 1 . The probability of rolling a number greater than 4 on a number cube is 3 1 . Together, the overall probability is 78 1 .
;
