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Answer:
The probability of selecting two Democrats and two Republicans is 0.4242.
Step-by-step explanation:
The information provided is as follows:
- A city council consists of seven Democrats and five Republicans.
- A committee of four people is selected.
In mathematics, the procedure to select k items from n distinct items, without replacement, is known as combinations.
The formula to compute the combinations of k items from n is given by the formula:

Compute the number of ways to select four people as follows:

Compute the number of ways to selected two Democrats as follows:

Compute the number of ways to selected two Republicans as follows:

Then the probability of selecting two Democrats and two Republicans as follows:

Thus, the probability of selecting two Democrats and two Republicans is 0.4242.
Answer:
From a standard deck of cards, one card is drawn. What is the probability that the card is black and a jack? P(Black and Jack) P(Black) = 26/52 or ½ , P(Jack) is 4/52 or 1/13 so P(Black and Jack) = ½ * 1/13 = 1/26 A standard deck of cards is shuffled and one card is drawn. Find the probability that the card is a queen or an ace.
Step-by-step explanation: