Advertisements
Advertisements
Question
In a game, the entry fee is ₹ 150. The game consists of tossing a coin 3 times. Dhana bought a ticket for entry. If one or two heads show, she gets her entry fee back. If she throws 3 heads, she receives double the entry fees. Otherwise, she will lose. Find the probability that she just gets her entry fee
Solution
Sample space (S) = {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}
n(S) = 8
Let B be the event of getting her entry fee ...(one or two heads to show)
n(B) = Probability of one head + Probability of 2 head
= `3/8 + 3/8`
= `6/8`
= `3/4`
APPEARS IN
RELATED QUESTIONS
Write the sample space for tossing three coins using tree diagram
Write the sample space for selecting two balls from a bag containing 6 balls numbered 1 to 6 (using tree diagram).
If A is an event of a random experiment such that `"P"("A") : "P"(bar"A")` = 17 : 15 and n(S) = 640 then find n(A)
A coin is tossed thrice. What is the probability of getting two consecutive tails?
Three fair coins are tossed together. Find the probability of getting all heads
In a box there are 20 non-defective and some defective bulbs. If the probability that a bulb selected at random from the box found to be defective is `3/8` then, find the number of defective bulbs
The king and queen of diamonds, queen and jack of hearts, jack and king of spades are removed from a deck of 52 playing cards and then well shuffled. Now one card is drawn at random from the remaining cards. Determine the probability that the card is a king of black card
Two customers Priya and Amuthan are visiting a particular shop in the same week (Monday to Saturday). Each is equally likely to visit the shop on any one day as on another day. What is the probability that both will visit the shop on the same day?
Which of the following is incorrect?
A page is selected at random from a book. The probability that the digit at units place of the page number chosen is less than 7 is