Three unbiased coins are tossed. What is the probability of getting at most two heads?

Answer: Option 2 In a simultaneous throw of two dice, we have n(S) = (6 x 6) = 36 Then, E = {(1, 2), (1, 4), (1, 6), (2, 1), (2,...

Answer: Option 2 In a simultaneous throw of two dice, we have n (S) = (6 × 6) = 36 Let E = event of getting two numbers whose product is...

Answer: Option 1 In a simultaneous throw of dice, n (S) = (6 × 6) = 36 Let E = event of getting a doublet = [(1, 1), (2, 2), (3, 3),...

Answer: Option 1 Let P(T) be the probability of getting least one tail when the coin is tossed five times. $$P\left( {\overline T } \right)$$ = There is not even a...

Answer: Option 1 In a simultaneous throw of two dice, we have n(S) = 6 x 6 = 36 Let E = event of getting two numbers whose sum is odd. Then...

Answer: Option 4 Total 4 cases = [HH, TT, TH, HT] Favourable cases = [HH, TH, HT] Please note we need atmost one tail, not atleast one tail. So probability = $$\frac{{3}}{{4}}$$

Answer: Option 3 Sample space (All [possible outcomes)S=(HH, HT, TH, TT) Event(required outcomes) = (TT, HT, TH) $$\eqalign{ & {\text{p}}\left( {\text{E}} \right) = \frac{{{\text{n}}\left( {\text{E}} \right)}}{{{\text{n}}\left( {\text{S}} \right)}} \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = \frac{3}{4} \cr}...

Answer: Option 4 The question requires you to find number of the outcomes in which at most 3 coins turn up as heads. i.e., 0 coins turn heads or 1 coin...

Answer: Option 3 At least one tails means one tails or both tails Let us see what the possible outcomes are when two coins are tossed simultaneously We can get, 1. Heads and...

Answer: Option 2 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...