Three distinct numbers a, b and c are chosen at random from the numbers 1, 2, …, 100. The probability that
List Ia. a, b, c are in AP isb. a, b, c are in GP isc. a1.b1.c1 are in GP is d. a + b + c is divisible by 2 is List IIp. 16170053q. 661r. 221s. 21
One card is drawn from a well-shuffled deck of 52 cards. Find the probability of getting(i) a king of red colour (ii) a face card (iii) a red face card(iv) the jack of hearts (v) a spade (vi) the queen of diamonds
Refer to Example 13. (i) Complete the following table (ii) A student argues that 'there are 11 possible outcomes 2,3,4,5,6,7.8,9,10,11 and 12. Therefore, each of them has a probability 111. Do you agree with this argument? Justify
Each of the n urns contains 4 white and 6 black balls. The (n+1) th urn contains 5 white and 5 black balls. One of the n+1 urns is chosen at random and two balls are drawn from it without replacement. Both the balls turn out to be black. If the probability that the (n+1) th urn was chosen to draw the balls is 1/16, then find the value of n .
Consider a sample space S representing the adults in a small town who have completed the requirements for a college degree. They have been categorized according to sex and employment as follows: , Employed, Unemployed Male, 460, 40 Female, 140, 260 An employed person is selected at random. Find the probability that the chosen one is a male.
Assume that each born child is equally likely to be a boy or a girl . If a family has two children, what is the conditional probability that both are girls given that (i) the youngest is a girl (ii) at least one is a girl?
Describe the sample space for the indicated experiment : 2 boys and 2 girls are in Room X, and 1 boy and 3 girls in Room Y. Specify the sample space for the experiment in which a room is selected and then a person.
An experiment consists of rolling a die and then tossing a coin once if the number on the die is even. If the number on the die is odd, the coin is tossed twice. Write the sample space for this experiment.