Question

Two coins are tossed simultaneously 200 times . if we get two heads 75 times ,one head 60 times and no head 65 then find the probability of getting 1. 2tail 2. One head and one tail

Answer 1

Probability of 2tails=
no. of favourable outcomes/total no. of outcomes
so=>65/200
=>13/40

probability of getting one head and one tail
=>60/200
=>3/10

Hope it's correct and helps

Answer 2

The probability of getting two tails is 0.325 and one head one tail is 0.3

Given:

• Two coins are tossed simultaneously 200 times .
• if we get two heads 75 times,
• one head 60 times and
• No head 65.

To find:

• Find the probability of getting
• 1. 2 tails
• 2. One head and one tail

Solution:

Concept to be used:

• When two coins are tossed simultaneously, these outcomes will shown HH, HT, TH, TT here H stands for head and T for tail.
• Probability of an event P(E)=Favourable outcomes/Total number of outcomes

Step 1:

Identify the given outcomes.

Two heads (HH) :75 times

One head 60 times, i.e. (TH and HT): 60 times

No head 65,i.e. (TT):65

Step 2:

Find the probabilities.

Probability of getting 2 tails:

Favourable outcomes for two tails = 65

Total outcomes = 200.

Let the Probability of occurrence of two tails is P(TT),

So,

$P(TT) = \frac{65}{200}$

or

$\bf P(TT) = 0.325$

Probability of getting One head and one tail:

Favourable outcomes for One head and one tail = 60

Total outcomes = 200.

Let the Probability of occurrence of One head and one tail is P(TH),

$P(TH) = \frac{60}{200}$

or

$\bf P(TH) = 0.3$

Thus,

The probability of getting two tails is 0.325 and one head one tail is 0.3

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Learn more:

1) Three coins are tossed once. Find the probability of getting atmost 2 heads

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2) A coin is tossed 300 times120 times head appeared on tossing the coin at randam find probability of getting

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