Question

If a fair coin is tossed 10 times and the probability that it shows heads in the first four tosses and tail in last six tosses.

Answer 1

We want the probability that:

First 4 tosses → all Heads
Last 6 tosses → all Tails

Total number of possible outcomes

For 10 tosses:

Total outcomes=2¹⁰ = 1024

There is only 1 sequence that satisfies the condition:

HHHHTTTTTT

So, favourable outcomes = 1.

`P = "Favorable outcomes"/"Total outcomes" = 1/1024`

`1/1024`