Stats 1 Quiz 1: 11 July 2021, Set POD21QZBQPA (May 2021 term)

In a bin, there are 15 red balls, 10 blue balls, and 15 green balls. If two balls are picked randomly from the bin without replacement, what is the probability that the second ball picked is green ball? NOTE: Enter your answer in three decimal places.

If a five digit number is randomly picked, what is the probability that it is a palindrome? A number is called a palindrome if the number does not change on reversing the digits. Enter the answer correct to two decimal places.

NOTE: Enter your answer in one decimal place.

In an office, there are 30 male employees and 50 female employees excluding the manager. The manager wants to select a team leader and an assistant team leader for a new project from the existing 80 employees. If one of the two posts is occupied by female, what is the probability that other post is also occupied by the female employee? Team leader and Assistant team leader cannot be the same employee. Enter the answer up to 2 decimals accuracy.

Koneru Humpy and Viswanath Anand are playing a chess game to raise donations for a non-profit organisation for women's education. The game goes to the wire and Koneru Humpy has two moves to pick from. There is a 0.8 probability that she choose the first move. The probability of Koneru Humpy winning is 0.3 if she chooses the first move and 0.6 probability to win if she chooses the second move. What is the probability that Koneru Humpy will win the chess game? Enter the answer correct to two decimals accuracy.

NOTE: Enter your answer in one decimal place.

In an India- Australia test match happening at Gabba, Australia, Virat Kohli scored 225 runs in the India's first innings and Steve Smith scored 180 runs in Australia's first innings. Now the game is in to the final day. It is decided that either Virat Kohli or Steve Smith will be awarded Man of the Match (MoM) and no other player can be awarded MoM award. There is a 0.9, 0.5, and 0.3 probability that Virat Kohli will get the MoM award if India wins, draws or loses the test match respectively. There is 50% probability for India winning the test match and 30% probability for Australia winning the test match. If Steve Smith won the MoM award, what is the probability that India won the test match? Enter the answer correct to two decimals accuracy.

NOTE: Enter your answer in one decimal place.

Which of the following is a discrete random variable?

Which of the following statements is/are true?

Which of the following statements is/are true for three non-empty events A,B, and C of an experiment?