Statistics Assessments

Correct:

The probability of getting heads when flipping a fair coin is 0.5, as there are two equally likely outcomes: heads or tails.

Correct:

There are four possible outcomes when flipping two coins (HH, HT, TH, TT), and three of these include at least one head. Thus, the probability is \frac{3}{4}.

Correct:

Since there are two weekend days (Saturday and Sunday) out of seven days in a week, the probability of selecting a weekend day is \frac{2}{7}.

Correct:

The numbers greater than three are 4, 5, and 6, and the even numbers are 2, 4, and 6. Combining these, we have the numbers 2, 4, 5, and 6, which are four outcomes, \frac{4}{6} 0r \frac{2}{3}.

Correct:

A probability of 1 indicates that the event is certain to occur.

Correct:

With 6 blue marbles out of a total of 10, the probability of picking a blue marble is \frac{6}{10} = 0.6.

Correct:

There are 5 green and 7 red marbles, making a total of 12. With 20 marbles overall, the probability is \frac{12}{20}, which simplifies to \frac{3}{5}.

Correct:

The sample space in probability is the set of all possible outcomes of a probability experiment.

Correct:

With 18 girls in a class of 30 students, the probability of picking a girl is \frac{18}{30} = 0.6.

Correct:

If two events are mutually exclusive, they cannot occur at the same time, so the probability of both occurring together is 0.