A new online store charges all customers one price to download any song and another price to download any game. Jenna paid $20.5
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Given:
Principal = Rs. 6000
Rate of simple interest = 6% per annum.
Time = 4 years
To find:
The simple interest and amount.
Solution:
Formula for simple interest:
Where, P is principal, r is the rate of interest and t is the number of years.
Putting P=6000, r=6 and t=4, we get
Now,
Therefore, the simple interest is Rs. 7440 and the amount is Rs 7440.
We have 22 tickets sold, and 20 seats. This means that at least 2 passengers must not show up (otherwise, at least 21 passengers will be present, and there wouldn't be space for them).
Considering each passenger as independent, you can think of this experiment. Suppose you toss a coin for each passenger. If the coin lands on heads, the passenger shows up. If it lands on tails, the passenger doesn't show up.
But the coin is unfair: it has a 0.91 probability of landing on heads, and thus 0.09 probability of landing on tails.
This implies that the probability of having exactly tails is
We already concluded that at least two passengers must not show up. So, if our coins lands on tails less than twice, we've lost. So, the losing probability is
Finally, remember the rule to negate events:
So, if we lose with probability 0.39, we win with probability