In the following experiment have equally likely outcomes?Explain. A trial is made to answer a true-false question. The answer is right or wrong.

Which of the following experiments have equally likely outcomes? Explain: A baby is born. It is a boy or a girl.

Which of the following experiments have equally likely outcomes? Explain: A driver attempts to start a car. The car starts or does not start.

Which of the following experiments have equally likely outcomes? Explain: A player attempts to shoot a basketball. She/he shoots or misses the shot.

Which of the following experiments have equally likely outcomes? Explain: A player attempts to shoot a basketball. She/he shoots or misses the shot.

An experiment has 10 equally likely outcomes. Let A and B be two non-empty events of the experiment. If A consists of 4 outcomes, the number of outcomes that B must have so that A and B are independent, is

State whether the following statements are true or false. Justify your answer. : Some real numbers are irrational.

State whether the following statements are true or false. Justify your answer. : Not all real numbers are rational.

In an examination, 20 questions of true-false type are asked. Suppose a student tosses a fair coin to determine his answer to each question. If the coin falls heads, he answers 'true', if it falls tails, he answers 'false'. Find the probability that he answers at least 12 questions correctly.

In an exam, 10 questions of true-false type are asked. A student tosses a fair coin to determine his answer to each question. If the coin falls heads, he answers true and if it falls tails, he answers false. Show that the probability that he answers at most 7 questions correctly is 121/128 .