Three coins are tossed simultaneously 100 times- beginarray -c- c-c- c-c- Whine Outcome - No head - 1 head - 2 heads - 3 heads lilhlineFrequency - 23 - 29 - 20 - 28 llihline array Find the probability of getting-i 2 headsii no tailsiii no head-4 MARKS-

Formula: 1 Mark Each subpart: 1 Mark each Experimental probability = P(E)=Number of trials in which the event happened/Total number of trials i) P(2 heads) =2 ...

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Standard X

Mathematics

Theoretical Probability

Three coins a...

Question

Three coins are tossed simultaneously 100 times:
$\begin{matrix} O u t c o m e & N o h e a d & 1 h e a d & 2 h e a d s & 3 h e a d s F r e q u e n c y & 23 & 29 & 20 & 28 \end{matrix}$
Find the probability of getting:
i) 2 heads
ii) no tails
iii) no head
[4 MARKS]

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Solution

Formula: 1 Mark
Each subpart: 1 Mark each

Experimental probability = $P (E) = \frac{N u m b e r o f t r i a l s i n w h i c h t h e e v e n t h a p p e n e d}{T o t a l n u m b e r o f t r i a l s}$

i) P(2 heads) $= \frac{20}{100} = \frac{1}{5}$

ii) P(no tails) = P(3 heads) $= \frac{28}{100} = \frac{7}{25}$

iii) P(no head) $= \frac{23}{100}$

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(i) What is the probability of getting more tails than heads?
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(iii) Are (i) and (ii) complementary? Will they be complementary if we had 4 coins? [4 MARKS]

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Three coins are tossed simultaneously 100 times: OutcomeNo head1 head2 heads3 headsFrequency23292028 Find the probability of getting: i) 2 heads ii) no tails iii) no head [4 MARKS]

Formula: 1 Mark Each subpart: 1 Mark each Experimental probability = P(E)=Number of trials in which the event happenedTotal number of trials i) P(2 heads) =20100=15 ii) P(no tails) = P(3 heads) =28100=725 iii) P(no head) =23100

Three coins are tossed simultaneously 100 times:
$\begin{matrix} O u t c o m e & N o h e a d & 1 h e a d & 2 h e a d s & 3 h e a d s F r e q u e n c y & 23 & 29 & 20 & 28 \end{matrix}$
Find the probability of getting:
i) 2 heads
ii) no tails
iii) no head
[4 MARKS]