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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 ?

Correct Answer: 1/2
The results are independent. P(head on 4th toss) = 1/2

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 fair coin is tossed three times in succession. If the first toss produces a head, then the probability of getting exactly two heads in three tosses is

Simplify the value of $$\frac{{{\text{0}}{\text{.9}} \times {\text{0}}{\text{.9}} \times {\text{0}}{\text{.9 + 0}}{\text{.2}} \times {\text{0}}{\text{.2}} \times {\text{0}}{\text{.2 + 0}}{\text{.3}} \times {\text{0}}{\text{.3}} \times {\text{0}}{\text{.3}} - {\text{3}} \times 0.9 \times {\text{0}}{\text{.2}} \times {\text{0}}{\text{.3}}}}{{{\text{0}}{\text{.9}} \times {\text{0}}{\text{.9 + 0}}{\text{.2}} \times {\text{0}}{\text{.2 + 0}}{\text{.3}} \times {\text{0}}{\text{.3}} - 0.9 \times {\text{0}}{\text{.2}} - {\text{0}}{\text{.2}} \times {\text{0}}{\text{.3}} - 0.3 \times 0.9}} = ?$$

$$\frac{{38 \times 38 \times 38 + 34 \times 34 \times 34 + 28 \times 28 \times 28 - 38 \times 34 \times 84}}{{38 \times 38 + 34 \times 34 + 28 \times 28 - 38 \times 34 - 34 \times 28 - 38 \times 28}}$$            is equal to = ?

Considers a sequence of tossing of a fair coin where the out comes of tosses are independent. The probability of getting the head for the third time in the fifth toss is

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

In the question given below,three paragraphs are given, which arejumbled. Find the correct sequence ofthese paragraphs so that they form ameaningful passage.
A. Climate change is warming the ocean,but its warming land faster and thatsreally bad news for air quality all overthe world, says a new University ofCalifornia, Riverside study. The study,published February 4 in Nature ClimateChange, shows that the contrast inwarming between the continents andsea, called the land-sea warmingcontrast, drives an increasedconcentration of aerosols in theatmosphere that cause airpollution. Aerosols affect the climatesystem, including disturbances to thewater cycle, as well as human health.They also cause smog and other kinds ofair pollution that can lead to healthproblems for people, animals, andplants.
B. To determine this, the researchersran simulations of climate change undertwo scenarios. The first assumed abusiness-as-usual warming model, inwhich warming proceeds at a constant,upward rate. The second model probeda scenario in which the land warmed lessthan expected. In the business-as-usualscenario, enhanced land warmingincreased continental aridity and,subsequently, the concentration ofaerosols that leads to more air pollution.
C. A robust response to an increase ingreenhouse gases is that the land isgoing to warm faster than the ocean.This enhanced land warming is alsoassociated with increased continental
aridity. The increase in aridity leads todecreased low cloud cover and less rain,which is the main way that aerosols areremoved from the atmosphere.

A fair dice is tossed two times. The probability that the second toss results in a value that is higher than the first toss is

A coin is tossed twice. What is the probability of getting head on first toss and tail on second toss?

160 heads and 240 tails resulted from 400 tosses of a coin. Find a 95% confidence interval for the probability of a head. Does this appear to be a fair coin?