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A fair coin is to be tossed 100 times with each toss resulting in a head or a tail. If H is the total number of heads and T is the total number of tails, which of the following events has the greats possibility?
A
H =50
B
T> 60
C
H 95
D
H>48 and T> 48
Correct Answer:
H =50
A coin is tossed twice if the coin shows head it is tossed again but if it shows a tail then a die is tossed. If 8 possible outcomes are equally likely. Find the probability that the die shows a number greater than 4, if it is known that the first throw of the coin results in a tail
A
1\/3
B
2\/3
C
2\/5
D
4\/15
A fair (unbiased) coin was tossed four times in succession and resulted in the following outcomes: i. Head, ii. Head, iii. Head, iv. Head. The probability of obtaining a 'Tail' when the coin is tossed again is
A
0
B
$$\frac{1}{2}$$
C
$$\frac{4}{5}$$
D
$$\frac{1}{5}$$
The probability is 1/2 that a coin will turn up heads on any toss. If the coin is to be tossed three times, what is the probability that on at least one of the tosses the coin will turn up tails?
A
1/8
B
1/2
C
7/8
D
None of these
For each element in a set of size 2n, an unbiased coin is tossed. All the 2n coin tossed are independent. An element is chosen if the corresponding coin toss were head. The probability that exactly n elements are chosen is
A
\
B
\
C
\
D
$$\frac{1}{2}$$
Simplify the value of $$\frac{{{\text{0}}{\text{.9}} \times {\text{0}}{\text{.9}} \times {\text{0}}{\text{.9 + 0}}{\text{.2}} \times {\text{0}}{\text{.2}} \times {\text{0}}{\text{.2 + 0}}{\text{.3}} \times {\text{0}}{\text{.3}} \times {\text{0}}{\text{.3}} - {\text{3}} \times 0.9 \times {\text{0}}{\text{.2}} \times {\text{0}}{\text{.3}}}}{{{\text{0}}{\text{.9}} \times {\text{0}}{\text{.9 + 0}}{\text{.2}} \times {\text{0}}{\text{.2 + 0}}{\text{.3}} \times {\text{0}}{\text{.3}} - 0.9 \times {\text{0}}{\text{.2}} - {\text{0}}{\text{.2}} \times {\text{0}}{\text{.3}} - 0.3 \times 0.9}} = ?$$
A
1.4
B
0.054
C
0.8
D
1.0
A fair coin is tossed independently four times. The probability of the event "the number of times heads show up is more than the number of times tails show up" is
A
$$\frac{1}{{16}}$$
B
$$\frac{1}{8}$$
C
$$\frac{1}{4}$$
D
$$\frac{5}{{16}}$$
A fair coin is thrown in the air four times. If the coin lands with the head up on the first three tosses, what is the probability that the coin will land with the head up on the fourth toss ?
A
3/4
B
1/2
C
1/8
D
1/16
A coin is tossed twice. What is the probability of getting head on first toss and tail on second toss?
A
1/2
B
1/3
C
1/4
D
1
$$\frac{{38 \times 38 \times 38 + 34 \times 34 \times 34 + 28 \times 28 \times 28 - 38 \times 34 \times 84}}{{38 \times 38 + 34 \times 34 + 28 \times 28 - 38 \times 34 - 34 \times 28 - 38 \times 28}}$$ is equal to = ?
A
24
B
32
C
44
D
100
An unbiased coin is tossed five times. The outcome of each toss is either a head or a tail. The probability of getting at least one head is
A
$$\frac{1}{{32}}$$
B
$$\frac{{13}}{{32}}$$
C
$$\frac{{16}}{{32}}$$
D
$$\frac{{31}}{{32}}$$