Probability of an Event

Q. Probability of not choosing a vowel from all the alphabets is.

1. $\frac{20}{26}$
2. $\frac{5}{26}$
3. $\frac{21}{26}$
4. $\frac{4}{26}$

Q. A bag contains 5 black, 7 red and 3 white balls. A ball is drawn from the bag at random. What is the probability that the ball drawn is either black or white?

1. $\frac{7}{8}$
2. $\frac{5}{8}$
3. $\frac{8}{15}$
4. $\frac{1}{15}$

Q. An integer is chosen at random from the first 50 natural numbers. The probability of getting an integer divisible by 4 or 6 is .

Q. The following shape is made up of a square having each side 20 units, and inside each square, there is a green colored rhombus of area 8 sq. units each.

If we throw a pebble upon the pattern, find the probability of the pebble stopping on the green-colored rhombus.

1. $\frac{1}{4}$
2. $\frac{1}{2}$
3. $\frac{1}{5}$
4. $\frac{1}{3}$

Q. An unbiased die is thrown. The probability that the number which comes up is even, is _________.

1. $\frac{1}{2}$
2. $\frac{1}{3}$
3. $\frac{1}{4}$
4. $\frac{1}{5}$

Q. A man A speaks truth in $80\%$ of the cases and another man B in $90\%$ of the cases. While stating the same fact, what is the probability that they contradict?

1. $\frac{37}{50}$
2. $\frac{16}{50}$
3. None of these
4. $\frac{13}{50}$

Q. A bag has 4 red balls and 2 yellow balls. The balls are identical in all respect other than colour. A ball is drawn from the bag without looking into the bag. The probability of getting a red ball is _________. Choose the correct option to fill in the blank.

1. $\frac{1}{2}$
2. $\frac{1}{4}$
3. $\frac{1}{5}$
4. $\frac{2}{3}$

Q. The probability of happening of an event in a trial is $0.5$. The probability of happening of the event atleast once if the experiment is repeated $3$ times is

1. $0.567$
2. $1.589$
3. $0.875$
4. $1.9275$

Q. If Swamy has two children and he truthfully answers yes to the question “Is at least one of your children a girl?”, what is the probability that both his children are girls?

1. $\frac{1}{3}$
2. $\frac{1}{2}$
3. 1
4. $\frac{2}{3}$

Q. In a deck of $50$ cards, there are $5$ face cards. Find the theoretical probability and predict how many face cards would be present in a deck of $120$ cards if the ratio of the face cards to the non-face cards is proportional to the original deck.

Q. Find the theorectical probability of the spinner not landing on the green part.

1. $\frac{3}{8}$
2. $\frac{7}{8}$
3. 1
4. $\frac{1}{8}$