Advertisements
Advertisements
Question
All the jacks, queens and kings are removed from a deck of 52 playing cards. The remaining cards are well shuffled and then one card is drawn at random. Giving ace a value 1 similar value for other cards, find the probability that the card has a value greater than 7
Solution
In out of 52 playing cards, 4 jacks, 4 queens and 4 kings are removed, then the remaining cards are left, n(S) = 52 – 3 × 4 = 40.
Let E2 = Event of getting a card whose value is greater than 7
= Event of getting a card whose value is 8, 9 or 10
∴ n(E2) = 3 × 4 = 12
∴ `P(E_2) = (n(E_2))/(n(S)) = 12/40 = 3/10`
APPEARS IN
RELATED QUESTIONS
The probability of an event that is certain to happen is ______. Such as event is called ______.
- A lot of 20 bulbs contain 4 defective ones. One bulb is drawn at random from the lot. What is the probability that this bulb is defective?
- Suppose the bulb drawn in (1) is not defective and is not replaced. Now one bulb is drawn at random from the rest. What is the probability that this bulb is not defective?
Two unbiased dice are thrown. Find the probability that the total of the numbers on the dice
is greater than 10.
One card is drawn from a well shuffled deck of 52 cards. Find the probability of getting a jack of hearts
Fill in blank:
Probability of a sure event is...........
For an event E, write a relation representing the range of values of P(E).
A game of chance consists of spinning an arrow which comes to rest pointing at one of the numbers 1, 2, 3, 4, 5, 6, 7, 8 and these are equally likely outcomes. Find the probability that the arrow will point at any factor of 8.
A number is selected at random from the numbers 1 to 30. What is the probability that the selected number is a prime number?
A dice is thrown once. What is the probability that the number is greater than 2?
The king, queen and jack of clubs are removed from a deck of 52 playing cards and then well shuffled. Now one card is drawn at random from the remaining cards. What is the probability that the card is 10 of hearts?
