Advertisements
Advertisements
प्रश्न
Two different coins are tossed simultaneously. The probability of getting at least one head is
(A)`1/2`
(B)`1/8`
(C)`3/4`
(D)`7/8`
उत्तर
When two coins are tossed simultaneously, the possible outcomes are {(H, H), (H, T), (T, H), (T, T)}.
∴ Total number of outcomes = 4
Let E be the event of getting at least one head.
Then, the outcomes favourable to E are {(H, H), (H, T), (T, H)}.
∴ Number of favourable outcomes = 3
P(E) =\[\frac{\text{Number of favourable outcomes}}{\text{Total number of outcomes}} = \frac{3}{4}\]
APPEARS IN
संबंधित प्रश्न
A number x is selected at random from the numbers 1, 2, 3, and 4. Another number y is selected at random from the numbers 1, 4, 9 and 16. Find the probability that product of x and y is less than 16.
Cards numbered from 11 to 60 are kept in a box. If a card is drawn at random from the box, find the probability that the number on the drawn card is an odd number.
A game consist of tossing a one-rupee coin 3 times and noting the outcome each time. Ramesh will win the game if all the tosses show the same result, (i.e. either all thee heads or all three tails) and loses the game otherwise. Find the probability that Ramesh will lose the game.
All red face cards are removed from a pack of playing cards. The remaining cards are well shuffled and then a card is drawn at random from them. Find the probability that the drawn card is a red card
If \[\bar{E}\] denote the complement or negation of an even E, what is the value of P(E) + P(\[\bar{E}\]) ?
A number is chosen at random from the number –3, –2, –1, 0, 1, 2, 3. What will be the probability that square of this number is less then or equal to 1?
Two different coins are tossed simultaneously. The probability of getting at least one head is
A bag contains 18 balls out of which x balls are red. If the ball is drawn at random from the bag, what is the probability that it is not red?
All red face cards are removed from a pack of playing cards. The remaining cards are well shuffled and then a card is drawn at random from them. Find the probability that the drawn card is a red card.
A die is thrown once. Find the probability of getting a number which (i) is a prime number (ii) lies between 2 and 6.
A coin is tossed. What is the probability of getting:
a tail?
A coin is tossed twice. Find the probability of getting: two heads
From 10 identical cards, numbered 1, 2, 3, ……, 10, one card is drawn at random. Find the probability that the number on the card drawn is a multiple of
2
Two coins are tossed together. Find the probability of getting: no head
A die is thrown once. Find the probability of getting:
a prime number
There are 24 balls in a pot. If 3 of them are Red, 5 of them are Blue and the remaining are Green then, what is the probability of picking out a Blue ball?
A manufacturer tested 7000 LED lights at random and found that 25 of them were defective. If a LED light is selected at random, what is the probability that the selected LED light is a defective one
One ticket is selected at random from 100 tickets numbered 0.0, 01, 02, ……, 99. Suppose x is the sum of digits and y is the product of digits, then the probability that x = 9 and y = 0 is ____________.
An experiment whose outcomes cannot be predicted exactly in advance is called a ______ experiment.
If a pair of coins is tossed, then the number of outcomes are 2.
