Ten coins are tossed simultaneously. In how many of the outcomes will the third coin turn up a head?

A 2<sup>10</sup>
B 2<sup>9</sup>
C 3 × 2<sup>8</sup>
D None of these

Correct Answer: 2<sup>9</sup>

When a coin is tossed once, there are two outcomes. It can turn up a head or a tail.When 10 coins are tossed simultaneously, the total number of outcomes = 210Out of these, if the third coin has to turn up a head, then the number of possibilities for the third coin is only 1 as the outcome is fixed as head.Therefore, the remaining 9 coins can turn up either a head or a tail = 29
Bissoy MCQ
#Arithmetic Ability #Permutation And Combination

Related Questions

In a rare coin collection, all coins are either pure gold or pure silver , and there is initially one gold coin for every three silver coins . With the addition of 10 more gold coins to the collection, the ratio of gold coins to silver coins is 1 to 2. Based on this information , how many total coins are there now in this collection (after the acquisition)?
A 40
B 50
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A 25
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E 31
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
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When tossed, a certain coin has equal probability of landing on either side. If the coin is tossed 3 times, what is the probability that it will land on the same side each time?
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A certain sum of money consists of 30 coins, some of which are 10 paisa coins and the rest are 5 paisa coins. If the total value of the coins is Tk. 2, what is the number of 10 paisa coins?
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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 ?
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