Advertisements
Advertisements
Question
Choose the correct alternative:
A bag contains 6 green, 2 white, and 7 black balls. If two balls are drawn simultaneously, then the probability that both are different colours is
Options
`68/105`
`71/105`
`64/105`
`73/105`
Solution
`68/105`
APPEARS IN
RELATED QUESTIONS
A family has two children. What is the probability that both the children are girls given that at least one of them is a girl?
An unbiased die is thrown twice. Let the event A be the odd number on the first throw and B the event odd number on the second throw. Check whether A and B events are independent.
Bag I contains 3 Red and 4 Black balls while another Bag II contains 5 Red and 6 Black balls. One ball is drawn at random from one of the bags and it is found to be red. Find the probability that it was drawn from Bag I.
Three boxes B1, B2, B3 contain lamp bulbs some of which are defective. The defective proportions in box B1, box B2 and box B3 are respectively `1/2`, `1/8` and `3/4`. A box is selected at random and a bulb drawn from it. If the selected bulb is found to be defective, what is the probability that box B1 was selected?
Three horses A, B, C are in the race. A is twice as likely to win as B and B is twice as likely to win as C. What are their respective probabilities of winning?
A company has three machines A, B, C which produces 20%, 30% and 50% of the product respectively. Their respective defective percentages are 7, 3 and 5. From these products, one is chosen and inspected. If it is defective what is the probability that it has been made by machine C?
The events A and B are independent if
If two events A and B are dependent then the conditional probability of P`("B"/"A")` is
Let a sample space of an experiment be S = {E1, E2, ..., En}, then `sum_("i" = 1)^"n" "P"("E"_"i")` is equal to
Probability that at least one of the events A, B occur is
A, B and C was 50%, 30% and 20% of the cars in a service station respectively. They fail to clean the glass in 5%, 7% and 3% of the cars respectively. The glass of a washed car is checked. What is the probability that the glass has been cleaned?
Data on readership of a magazine indicates that the proportion of male readers over 30 years old is 0.30 and the proportion of male readers under 30 is 0.20. If the proportion of readers under 30 is 0.80. What is the probability that a randomly selected male subscriber is under 30?
Gun 1 and Gun 2 are shooting at the same target. Gun 1 shoots on the average nine shots during the same time Gun 2 shoots 10 shots. The precision of these two guns is not the same. On the average, out of 10 shots from Gun 2 seven hit the target. In the course of shooting the target has been hit by a bullet, but it is not known which Gunshot this bullet. Find the chance that the target was hit by Gun 2?
An experiment has the four possible mutually exclusive and exhaustive outcomes A, B, C, and D. Check whether the following assignments of probability are permissible.
P(A) = 0.22, P(B) = 0.38, P(C) = 0.16, P(D) = 0.34
A single card is drawn from a pack of 52 cards. What is the probability that the card is an ace or a king
A single card is drawn from a pack of 52 cards. What is the probability that the card is either a queen or 9?
Suppose P(B) = `2/5`. Express the odds event B occurs
Choose the correct alternative:
Four persons are selected at random from a group of 3 men, 2 women and 4 children. The probability that exactly two of them are children is
