A five digits number is chosen at random. What is the probability that all the digits are distinct, the digits at odd places are odd and the digits are at even places are even?

Odd digits – 1, 3, 5, 7, 9 Even digits – 0, 2, 4, 6, 8 Since, odd digits at odd places and even digits at even place. Places of odd digits – 3 Places of even digits – 2 ∴ Favourable ways = ⁵P₃ × ⁵P₂ = 5 × 4 × 3 × 5 × 4 = 1200 ∴ Total five digits numbers that can be formed = 9 × 10 × 10 × 10 × 10 = 90,000 Required probability = 1200/90000 = 1/75

- If a coin is tossed repeatedly and the head appears for the first 94 times then what is the probability that the tail appears on the 95
^{th}toss? - In a class, there are 16 boys and 24 girls. One of them is called out by an enroll number. What is the probability that the one called is a girl?
- Axe speaks truth only when Wye does not speak truth, then what is the probability that Zed does not speak truth on a question?
- From a bag containing 12 white and 15 yellow ribbons, find the probability of picking 2 ribbons of each type at random.
- There are (m + 6) red roses, (m + 12) white roses and ‘m’ pink roses in a bag. If the probability of picking a pink rose is 4/15, then find the value of ‘m’.
- In a box there are 8 red, 7 blue, and 6 green balls. One ball is picked up randomly. What is the probability that it is neither red nor green?
- In how many ways can 2 girls and 8 boys be seated in a row so that girls are always together?
- If two socks are chosen at random, what is the probability that either all are green or all are black socks?
- 5 coins are tossed together. What is the probability of getting exactly 3 tails?
- In an examination, a candidate is required to pass all six different subjects. The number of ways he can fail is:

More Probability Questions

×

×