# Recent questions tagged probability

1
A bag contains $12$ balls of the two different colours out of which $x$ are white. One ball is drawn at random. If $6$ more white balls are put in a bag, the probability of drawing a white ball now will be doubled to that of previous probability of drawing a white ball. The value of $x$ is : $4$ $5$ $6$ $3$
1 vote
2
A college cricket team with $11$ players consists of $4$ batsman, $3$ all-rounders, $3$ bowlers and $1$ wicket keeper. $3$ players are selected randomly. Find the probability that the selection contains a batsman, a bowler and an all-rounder. $\dfrac{12}{60} \\$ $\dfrac{13}{25} \\$ $\dfrac{12}{55} \\$ $\dfrac{104}{165}$
3
If a fair coin is tossed $5$ times and comes up heads four times out of five. Then if the coin is tossed a sixth time under the same conditions, the probability of it turning up heads is: $80\%$ $125\%$ $50\%$ $20\%$
1 vote
4
Two dice are thrown simultaneously. The probability of obtaining a total score of $5$ is $1/18$ $1/12$ $1/9$ None of these
1 vote
5
You have to play three games with opponents A and B in a specified sequence. You win the series if you win two consecutive games. A is a stronger player than B. Which sequence maximizes your chance of winning the series? AAB ABA BAB BAA All are the same.
6
A coin is tossed 10 times Find the probablity of obtaining head at least once
7
Ten tickets numbered $1, 2, 3, ..., 10.$ Six tickets are selected at random one at a time with replacement. The probability of the largest number appearing on the selected ticket being 7 is a. $(7^6 +1)/10^6$ b. $(7^6 - 6^6)/10^6$ c. $(7^6+6^6)/10^6$ d. $6^6/10^6$
1 vote
8
There are two bags. One bag contains 4 white and 2 black balls. Second bad contains 5 white and 4 black balls. 2 balls are transferred from first bag to second bag. Then one ball is taken from the second bag. The probability that the ball is white is ? 42/33 5/16 48/13 19/33
1 vote
9
When 4 dice are thrown, what is the probability that the same number appears on each of them? a. 1/36 b. 1/18 c. 1/216 d. 1/5
A box contains $6$ red balls, $7$ green balls and $5$ blue balls. Each ball is of a different size. The probability that the red ball selected is the smallest red ball, is $1/18$ $1/3$ $1/6$ $2/3$
$\text{A}$ and $\text{B}$ throw with one dice for a stake of $\text{Rs.}\;11$ which is to be won by the player who first throw $6$. If $\text{A}$ has the first throw, what are their respective expectations. $\text{Rs.}\; 7, \text{Rs.}\; 4$ $\text{Rs.}\; 6, \text{Rs.}\; 5$ $\text{Rs.}\; 4, \text{Rs.}\; 7$ $\text{Rs.}\; 5, \text{Rs.}\; 6$