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An urn contains 4 white and 3 red balls. Let X be the number of red balls in a random draw of three balls. Find the mean and variance of X.
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Practice questions from similar books
Question 1
There are two bags I and II. Bag I contains 3 white and 3 red balls and Bag II contains 4 white and 5 red balls. One ball is drawn at random from one of the bags and is found to be red. Find the probability that it was drawn from bag II.Question 2
A man alternately tosses a coin and throws a die beginning with the coin. The probability that he gets a head in the coin before he gets a 5 or 6 in the dice is
b.
c.
d. none of theseQuestion 3
Each question has four choices a, b, c, and d, out of which only one is correct. Each question contains STATEMENT 1 and STATEMENT 2.
Both the statements are TRUE and statement 2 is the correct explanation of Statement 1.
Both the statements are TRUE but Statement 2 is NOT the correct explanation of Statement 1.
Statement 1 is TRUE and Statement 2 is FALSE.
Statement 1 is FALSE and Statement 2 is TRUE.
Statement 1: For events
of sample space if
, then
Statement 2:
, Question 4
Suppose a girl throws a die. If she gets a 5 or 6, she tosses a coin 3 times and notes the number of heads. If she gets 1,2,3 or 4 she tosses a coin once and notes whether a head or tail is obtained. If she obtained exactly one head, what is the probability that she threw 1,2,3, or 4 with the die?
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| Question Text | An urn contains 4 white and 3 red balls. Let X be the number of red balls in a random draw of three balls. Find the mean and variance of X. |
