25 is 1/3 of 75... Because 75 can be divided by 25 exactly 3 times.
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There is a .25 chance that no heads will come up. (1/2*1/2=.25) Therefore, there is a .75 chance that one or more heads will come up. Value of game = .75*$2-.25*$4=$1.5-$1=$.50 Over time, you should come out ahead.
This is a good bet to take. Your expected payout is 0.5 each round of the 2 tosses. The possible outcomes from 2 tosses: HT, HH, TT, TH. The probability that heads comes up is 3 in 4 (.75). The probability that heads does not come up is 1 in 4 (.25). Your expected payout is: (2 * .75) + (-4 * .25) = 1.5 - 1 = 0.5
Divide 2 by .25 and .25 by 2, add both up together and divide by 100
Divide the top number (numerator) by the bottom number (denominator) of the fraction and the number you come up with is your decimal.
To convert 0.25 into a fraction, you can write it as 25/100. Simplifying the fraction by dividing both numerator and denominator by their greatest common divisor yields 1/4. Therefore, 0.25 is equivalent to the fraction 1/4.