Red
Probability is used to set betting odds.
True
What is the probability of getting atleast one head if three unbiased coins are tossed?
a) 1/2 b)7/8 c)5/8 d)8/9
b) 7/8
What is the Experimental Probability Formula
P(A) = number of times the event occurs/number of trials
What is the independent events formula?
P(A∩B) = P(A) ⋅ P(B)
A coin is thrown 3 times. What is the probability that at least one head is obtained?
Sample space = [HHH, HHT, HTH, THH, TTH, THT, HTT, TTT]
Total number of ways = 2 × 2 × 2 = 8. Fav. Cases = 7
P (A) = 7/8
OR
P (of getting at least one head) = 1 – P (no head)⇒ 1 – (1/8) = 7/8
Answer: 7/8
What will be the probability of losing a game if the winning probability is 0.3?
a) 0.5 b) 0.6 c) 0.7 d) 0.8
c) 0.7
A die will be rolled 6 times. What is the chance of obtaining exactly 1 ace?
We're looking for exactly 1 ace in 6 rolls.
( ≈0.40 P(one ace in 6 rolls)
There are 5 green 7 red balls. Two balls are selected one by one without replacement. Find the probability that first is green and second is red.
P (G) × P (R) = (5/12) x (7/11) = 35/132
Answer: 35/132
Two events are mutually exclusive events if they cannot occur at the same time.
True
Three cards are dealt from a well-shuffled deck.
Find the chance that all of the cards are diamonds.
P(diamond, diamond, diamond) = x x = ≈0.0129
Answer: ≈0.0129
What will be the probability of getting odd numbers if a dice is thrown?
a) 1/2 b) 2 c)4/2 d) 5/2
a) 1/2
Find the probability of getting a numbered card when a card is drawn from the pack of 52 cards.
Total Cards = 52. Numbered Cards = (2, 3, 4, 5, 6, 7, 8, 9, 10) 9 from each suit 4 × 9 = 36
P (E) = 36/52 = 9/13
Answer:9/13
If a number is selected at random from the first 100 natural numbers, what will be the probability that the selected number is a perfect cube?
a) 1/25 b) 2/25 c) 3/25 d) 4/25
a) 1/25
If something has probability 1,000%, it is sure to happen.
Nothing can have probability 1000 percent -- probability values are restricted to zero to one, or to zero percent to 100 percent. Note that 1.00 = 100 percent, just as one dollar = 100 cents.
Answer: False
What is the formula of disjoint events?
P(A∩B) = 0
What is the formula of complementary events?
P(A’) + P(A) = 1
The chance of A is 1/3; the chance of B is 1/10. If A and B are independent, they must also be mutually exclusive. True or false?
False. A and B can both happen together with chance (1/3) x (1/10). So they are not mutually exclusive.
The probability of selecting a bad egg is 0.035 from the lot of 400 eggs. So, what is the number of bad eggs in the lot?
a) 20 b) 16 c) 18 d) 14
d) 14
What is the formula of probability change
0 ≤ P(A) ≤ 1
The probability of an event A must be between 0 and 1, exclusive
False
(inclusive)